&= 424 \text{ million} \quad \text{(nearest million)} of our 2019 students achieved an ATAR above 90, of our 2019 students achieved an ATAR above 99, was the highest ATAR achieved by 3 of our 2019 students, of our 2019 students achieved a state ranking. [ii] Prove that ∫(1 / a2 – x2) dx = (1 / 2a) log [(a + x) / (a – x)] + c. = (1 / 2a) ∫[(a + x) / (a – x) / (a + x) / (a – x)] dx, = (1 / 2a) ∫(1 / (a + x)) + (1 / (a – x)) dx, = (1 / 2a) [∫(1 / (a + x)) dx + ∫(1 / (a – x)) dx], = (1 / 2a) [log |a + x| – log |a – x|] + c. [iii] Show that ∫-aa f (x) dx = 2 ∫0a f (x) dx, if f (x) is an even function. \text{therefore} \ P(\sqrt{3},-4\sqrt{3})\\ As \(-1 \leq \cos\left(\frac{2\pi t}{366}\right) \leq 1\), it is least when \(\cos\left(\frac{2\pi t}{366}\right) = -1\). \end{gather*}, \begin{gather*} [iii] Find the inverse of the matrix using elementary row transformations. Therefore [i] Using the vector method prove that the medians of a triangle are concurrent. \end{align*}, \begin{align*} Question 27 (a) Criteria Marks • Provides correct answer or correct numerical expression 2 • Calculates correct cost of SMS or data, or equivalent merit 1 . \begin{align*} = 2 cos2 ɑ – 1 + 2 cos2 ꞵ – 1 + 2 cos2 – 1 + 1. = tan-1 (5x + 1) / (1 – (3x + 2) (2x – 1)), = tan-1 ((3x + 2) (2x – 1) / (1 – (3x + 2) (2x – 1)), dy / dx = [3 / 1 + (3x + 2)2] + [1 / 1 + (2x – 1)2], = [3 / 9x2 + 12x + 5] + [1 / 2x2 – 2x + 1]. \begin{gather*} 2\ln(k+3) &= \ln 144 \\ [iii]: The measure of the acute angle between the Lines whose direction ratios are 3, 2, 6 and –2, 1, 2 is ______. \frac{d}{dx}(x^2\tan x) &= 2x\tan x + x^2\sec^2x \quad (\text{product rule}) = 8 [(x / 2) * √1 – x2 + (1 / 2) sin-1 (x / 1)]10. (1.04^{n-1}+…+1.05^{n-1})&=(1.05^{n}-1.04^{n})(100)\\ HSC Comm. &= \left[\frac{9}{2}x^2 – \frac{1}{4}x^4\right]^3_0 \\ Rearrange, [iii] Find the distance of the point (1, 2, -1) from the plane x – 2y + 4z – 10 = 0. P(110) &= 92e^{0.0139(110)} \\ &=3\sqrt{5}\,\,\text{unit}\\ [iii] Examine the continuity of the function f (x) = log 100 + log (0.01 + x) / 3x for x ≠ 0, 100 / 3 for x = 0, at x = 0. CBSE Class 12 Mathematics Question Paper with Solution: 2018 Solving previous years’ papers of CBSE is the best way to check your preparedness for the upcoming board exams 2019. \text{Hence OA}\,&=\sqrt{3^{2}+6^{2}}\\ &=300000(1.04)^{2}-P(1.04+1.05)\\ march 2018 hsc commerce maths paper solution. (D) Since \(x^{2}=4ay\), at \(y=4, x=12\) (via symmetry) Substituting values of \(x\) and \(y\) gives \(a=9\), 9. Understanding the pattern of the question paper is of much importance. Get Last Year Question Paper for 12th Board Exam and solved answers for practice … Required fields are marked *. See the exam paper, plus marking guidelines and feedback from markers, for the 2018 NSW Mathematics Higher School Certificate (HSC) exam. \text{therefore} \ \,\text{Area}\Delta\,OAP\,&=\frac{1}{2}\times\frac{6\sqrt{3}}{\sqrt{5}}\times3\sqrt{5}\\ All the question papers are available in PDF format. 10th std. \end{align*} \end{align*}, \begin{align*} Secondary Education. 13. \end{align*}, \begin{align*} Therefore \(\int_{-1}^3 f(x)\,dx = 13-2 = 11\), 8. (iii) f (0) = 10, f (4) = 16 – 16 + 10 = 10. \end{align*} &=\frac{2\pi x(100-x^{2})-\pi x^{3}}{3\sqrt{100-x^{2}}}\\ x = \frac{t^3}{3} – 2t^2 + 3t \\ Mah. [6]. A_2&=A_1(1.04)-P(1.05)\\ [iv]: Obtain the differential equation by eliminating the arbitrary constants from the following equation: y = c1e2x + c2e-2x. Question 4[A]: Select and write the appropriate answer from the given alternatives from each of the following sub-questions. Are you searching for WBCHSE mathematics question paper solution 2018 ? 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CBSE Question Paper Class 12 are provided below for Maths. educational institution and also for … Gujarat State leading educational institutions and subject experts is announced GSEB STD-12 Mathematics Model Paper 2021 in semester wise for SA-1, SA-2, LA and EA examination tests, every student can download Gujarat HSC Maths Model Paper 2021 with solutions to guessing important questions for 9 Mark, 8 Mark, 5 Mark, 2 Mark and single mark question to Arts, Science and Commerce … 11th std 12th std.. jee main 2020 best tips for attempting paper home 2019 board paper solution tips to study smart grammar & writing skills cbse sample papers 2020 icse board isc board cbse class 12 all subjects 2019-2020 cbse sample papers … -\frac{1}{2} &= \cos\left(\frac{2\pi t}{2}\right) \\ \ = 56 \text{cm}^2 A_1&=300000\times1.04-P \\ Question 3[A]: Attempt any two of the following. If you continue to use this site, you consent to our use of cookies. HSC … [ii] If x = a cos3 t, y = asin3 t, then show that dy / dx = – (y / x)⅓. Forums. AD &= AB – BD \\ 11th std. P(50) & = 184 \quad \quad \text{* units in millions} \\ &= 320^2 + 190^2 – 2(320)(190)\cos 110° \\ In this post, we give you the solutions to the 2018 Maths Advanced paper. \end{align*}, \begin{align*} maximum stationary point at \((4,32)\). = ʃ dx / [2{cos (x / 2) + sin (x / 2)}2 + 2 {cos (x / 2)}2], = (1 / 2)*ʃ dx / [{cos (x / 2) + sin (x / 2)}2 + {cos (x / 2)}2]. Thus we have, minimum stationary point at \((0,0)\) \vdots \\ Thus \(\min [L(t)] = 12 – 2 = 10 \text{hrs}\). If \(f(x)\) has no stationary points, \(f'(x)\) has no roots. Show that \(\dfrac{d^2y}{dx^2}\) at \(x = 2\) is zero, and \(\dfrac{d^2y}{dx^2}\) changes sign at \(x= 1\) and \(x = 3\). \begin{align*} \text{Since } \angle ABC \text{ is common, } \triangle CBD \, ||| \, \triangle ABC \,\,\text{(Equiangular)} &=\sqrt{45}\\ 1. To obtain the value of c, the following steps are followed. v = \frac{dx}{dt} = t^2 – 4t + 3 \\ T_{50} &= (a + 2d) + 47d \\ HSC MATHS PAPER SOLUTION SCIENCE 2nd, March, 2019. h = \frac{b-a}{2} = 1.5 \frac{d}{dx}\left(\frac{e^x}{x+1}\right) &= \frac{(x+1)e^x – e^x}{(x+1)^2} \quad \text{(quotient rule)} \\ CHEMISTRY XII HSC SOLUTION 27th, February, 2019. \end{align*}, \begin{align*} $$y = -\sqrt{3}x + \frac{\pi\sqrt{3} + 3}{6}$$, \begin{gather*} Maharashtra State Board Class 12 maths 2018 question paper with solutions are available on this page, by BYJU’S, in downloadable pdf format and also in the text for the students to prepare well for the MSBSHSE exams. \frac{dV}{dx}&=\frac{2}{3}\pi x\sqrt{100-x^{2}} – \frac{2}{3}\pi x^{3} \frac{1}{\sqrt{100-x^{2}}}\times\frac{1}{2}\\ HSC Higher Math 1st Paper Question Solution 2019 – All Edu Board has been published on My website bdjobstoday.info today.HSC Higher Math 1st Paper MCQ Question Solution 2019 – All Edu Board Subject title is Higher Math 1st Paper, Higher Secondary Certificate (HSC) Exam in this year number of 17, 23,513 students are attend HSC … [i] Verify Rolle’s theorem for the following function: f (x) = x2 – 4x + 10 on [0, 4]. \frac{BD}{BC} &= \frac{DC}{AB} \quad \text{(matching sides in ratios of similar triangles)} \\ From the two cases above, it can be concluded that ax2 + 2hxy + by2 = 0 represents a pair of lines passing through the origin. \end{align*} Contrapositive – If the measure of an angle is not 90° then it is not a right angle. t &= 122, 244 \\ &= \frac{4}{2}\\ \end{align*}, Using sine rule, [v] Given X ~ B (n, p) if n = 10, p = 0.4, find E (X) and Var (X). \text{therefore} \ h&=\sqrt{100-x^{2}}\\ \frac{3000}{P}&>(\frac{105}{104})^{n}-1\\ \end{align*}, \begin{align*} &= \frac{1}{2} \times 4 \times \frac{81}{4} = \frac{81}{4} \text{units}^2 Papers (zip) [6]. [i] Find the maximum and minimum value of the function f (x) = 2x3 – 21x2 + 36x – 20. a = 2, r = 2, n = 20 \\ x &= (y – 1)^{\frac{1}{4}} \\ Find the probability that it shows the head exactly 5 times. MHT-CET Question Paper 2018 solution. If direction ratios of lines are (a1, b1, c1) and (a2, b2, c2), cos ϴ = (a1 * a2 + b1 * b2 + c1 * c2) / (√(a12 + b12 + c12) * (a22 + b22 + c22)), cos ϴ = (3 * -2 + 2 * 1 + 6 * 2) / √(9 + 4 + 36) * √(4 + 1 + 4), [B] Attempt any three of the following. Free PDF download of Maharashtra HSC Board Class 12 Maths previous year question paper with solutions solved by expert teachers on Vedantu.com. The Question papers and Answer key of March 2017 & 2018 Higher secondary examinations are published here, after the conduct of examination of each subject. The subjects are – English, Assamese, General science, General mathematics, advanced mathematics, Social science, Hindi, Computer Science, IT HSC BOARD QUESTION PAPER & SOLUTIONS-2020 (STD - XII) Sr.No. [B] Attempt any two of the following. &= 4x^2 + 6xy + 9y^2 \\ CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, NCERT Solutions Class 11 Business Studies, NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions For Class 6 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions for Class 8 Social Science, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, MSBSHSE Class 9 History & Political Science Book, MSBSHSE Class 10 History & Political Science Book, Maharashtra HSC Board previous year maths question papers, Download MSBSHSE HSC 12th Maths Question Paper 2018, Download Solved MSBSHSE HSC Board Maths Question Paper 2018, 12th Maharashtra State Board Maths Solution Book, Maharashtra State Board Syllabus 8th Standard English Medium, Maharashtra Board 12th Biology Textbook Pdf, Important Questions For Class 12 Chemistry Hsc, Maharashtra Board 9th Std Science Notes In Pdf, 8th Standard Science Book Maharashtra Board, 7th Std Science Textbook Maharashtra Board. This awareness will be of immense value to you when facing eventually the actual question papers. V &= \pi\int_1^{10}(y – 1)^{\frac{1}{2}}\,dy \\ In this post, our Maths team share their completed solutions to the 2018 HSC Maths Extension 1 Exam Paper. [B] Attempt any two of the following: [8], [i] Prove that: sin-1 (3 / 5) + cos-1 (12 / 13) = sin-1 (56 / 65). ... Maharashtra State Board 12th Mathematics Textbook, 12th HSC Mathematics Textbook commerce,12th Math book PDF 2020. Acceleration is zero at \(v_\text{max}\) Let \frac{dV}{dx}=0\\ AP for \(n\): By solving these papers, students can familiarise themselves with the question paper pattern and also the mark distribution for each of the chapters. (b x c) = 3 (- 1 + 2) + 2 (- 5 + 2) + 7 (5 – 1), Question 2[A]: Attempt any two of the following. No roots if \(\Delta < 0, B^2 – 4AC < 0\). Excerpts and links may be used, provided that full and clear credit is given to Matrix Education and www.matrix.edu.au with appropriate and specific direction to the original content. A_3&=A_2(1.04)-P(1.05)^{2}\\ &= \int_0^3(2x + 7x – x^3)\,dx = \int_0^3(9x- x^3)\,dx \\ \begin{gather*} Maths Question Paper 2018 Class 12 is attached here for reference. [ii] Find the vector equation of the plane passing through the points A (1, 0, 1), B (1, -1, 1), C (4, -3, 2). NESA 2018 HSC Mathematics General 2 Marking Guidelines Page 5 of 21 . \end{align*}, \begin{gather*} AC^2 &= AB^2 + BC^2 – 2AB\cdot BC\cdot \cos 110° \\ Read our cookies statement. \end{align*}, Rearrange the equation to make \(x\) the subject. A_n&=300000(1.04)^{n}-P((1.04)^{n-1}+(1.04)^{n-2}(1.05)+…+(1.05)^{n-1})\\ (C) Given that \(\int_0^4f(x)\,dx = 10\) which takes into account negative area between \(x=3\) and \(x=4\) &=\frac{\pi x(200-3x^{2})}{3\sqrt{100-x^{2}}} \text{Let}\,\,y’&=2\,\Rightarrow x=\sqrt{3}\,\,,y=-4\sqrt{3}\\ \text{Now,}\,\, 1.05^{n}-1.04^{n}&=(1.05-1.04)(1.04^{n-1}+…+1.05^{n-1})\\ $$\text{therefore} \ \text{at } t = 2, x = \frac{8}{3} – 8 + 6 = \frac{2}{3}\,\,m$$. [iii] Find the area of the ellipse x2 / 1 + y2 / 4 = 1. \end{gather*}, 12. &= \frac{9\sqrt{3}}{2} \text{ unit}^2 t &= -\frac{b}{2a} \text{ from quadratic } t^2 – 4t + 3 \\ Case (ii): If f (x) is an odd function, then f (-x) = – f (x). Maths Question Paper 2018 Class 12 is attached here for reference. \text{therefore} \  y – \frac{1}{2} = -\sqrt{3}\left(x – \frac{\pi}{6}\right) Download from here last 5 years CBSE accounts guess papers. \text{therefore} \ AD+ BD &= AB \\ Previous Year Maharashtra HSC … Students must also practice Mathematics by solving numerically rather than orally understanding question answers. \begin{align*} [iii] Write the converse, inverse and contrapositive of the following conditional statement: If an angle is a right angle then its measure is 90o. 11 &= 12 + 2\cos\left(\frac{2\pi t}{366}\right) \\ [\ln(x+3)]_0^k &= [\ln(x+3)]_k^{45}\\ BD &= \frac{4}{3} \\ \text{stationary when } v= 0 \\ $$-3 < k < 3$$, DAY 1: \(n = 1 \Rightarrow 2^{1} + 1 = 3\) downloads 1 – 3x &> 10 \\ = 2 cos [(C + A) / 2] sin [(C – A) / 2] / 2 sin [(C + A) / 2] cos [(C – A) / 2], tan [(C – A) / 2] = [c – a] / [c + a] cot (b / 2). Let the points be A (1, 0, 1), B (1, -1, 1), C (4, -3, 2). These lines pass through the origin when h2 – ab > 0. &=\frac{\pi x(200-2x^{2}-x^{2})}{3\sqrt{100-x^{2}}}\\ Practising last 10 years Papers 12th of Gujarat Board is very important. [8]. \text{In } \triangle CBD, BC = CD \quad \text{(isosceles triangle)} \\ \end{align*}, \begin{align*} SSC ENGLISH STD 10 5TH MARCH, 2019. \end{align*}, \begin{align*} &\approx 0.0319 \quad \text{(4 d.p.)} [i] Evaluate ∫(ex [cos x – sin x] / sin2 x) dx. It appears that you have disabled your Javascript. The symmetry of this result shows that the point which divides the other two medians in the ratio 2:1 will also have the same position vector. \frac{2\pi t}{366} &= \frac{2\pi}{3},\frac{4\pi}{3} \\ Use perpendicular distance formula to obtain radius of the circle, which is \(4\).From these information, we can write out the equation of the circle – which is option D. 5. \begin{align*} k &= \frac{1}{50}\ln\left(\frac{184}{92}\right) \\ [ii] Using the truth table, prove the following logical equivalence: Let us consider a triangle ABC. 6 is not an even number and 36 is not a perfect square. The Board of Intermediate and Secondary Education, Dhaka is an autonomous organization, mainly responsible for holding two public examinations (SSC & HSC) and for providing recognition to the newly established non-govt. Consider AP & GP separately. © Matrix Education and www.matrix.edu.au, 2018. A_4&=300000(1.04)^{4}-P(1.04^{3}+1.04^{2}(1.05)+1.04(1.05)^{2}+(1.05)^{3})\\ \end{align*}, \begin{align*} [iii] A fair coin is tossed 9 times. Here we are providing the Maharashtra Board HSC Question Papers of Mathematics subject.With the help of these MBSE question papers for Mathematics, candidates can estimate the level and pattern of questions asked by the Maharashtra board in the upcoming Senior Secondary examination.As these papers … Home. The previous year GSEB question papers will help the students to get familiarised with the pattern, and the types of questions asked in the exams. This gives \(x = 0, 4\). GP for \(2^n\): \begin{gather*} \text{at } t = 0, v = 3 \text{ms}^{-1} Read on to see how to answer all of the 2018 questions. = ∫ex [cos x / sin2 x] – [sin x / sin2 x] dx, dy / dx = 2 [tan (3 log x)] * sec2 (3 log x) * (3 / x), dy / dx = (6 / x) tan (log x3) sec2 (log x3). Testpaperz.com is home to the largest collection of Board test papers/ School Prelim Test Papers/ Sample Question papers of ICSE, ISC, SSC, HSC and CBSE of Maths, Science, Physics, Chemistry, English, Accountancy, Computer Science, Physical Education, Biology and many other subjects for class 9,10,11 & 12 . \begin{align*} © 2020 Matrix Education. \end{gather*} [iv] Find the vector equation of the line which passes through the point with position vector 4i – j + 2k and is in the direction of -2i + j + k. The equation of the line which passes through the point is. AD = AB \quad \text{(sides of square are equal)} \\ Free PDF download of Maharashtra HSC Board Class 12 Maths question paper 2018 with solutions solved by expert teachers on Vedantu.com. \end{align*}, \begin{align*} 6. Hence \(\int_0^3 f(x)\,dx = 10+3 = 13\) \end{align*}, \begin{gather*} Inverse – If an angle is a not right angle then its measure is not 90°. [ii] Find the particular solution of the differential equation y (1 + log x) dy / dx – x log x = 0 when y = e2 and x = e. [iii] Find the variance and standard deviation of the random variable X whose probability distribution is given below, Standard deviation = √Var (X) = √3 / 4 = √3 / 2, Your email address will not be published. (B) \(7^{-1.3} = 0.07968 = 0.08 \) (2 d.p. [6], [i] If f (x) = [x2 – 9 / x – 3] + ɑ, for x > 3, lim x→3+ f (x) = lim x→0 [x2 – 9 / x – 3] + ɑ, = lim x→3 [(x – 3) ( x + 3) / (x – 3)] + ɑ. To make LHS a complete square, we add h2x2 on both sides. maharashtra: 9th std. [i] Evaluate ∫1 / [3 + 2 sinx + cos x] dx. In this post, we will work our way through the 2018 HSC Maths Advanced paper and give you the solutions, written by our leading teacher Oak Ukrit and his team. \ = 196 – 140 \\ y&=x^{3}-7x\\ Accountancy CBSE Class 12th Commerce Papers. \end{gather*} In this post, we will work our way through the 2018 HSC Maths Advanced paper and give you the solutions, written by our leading teacher Oak Ukrit and his team. \text{In } \triangle ADF, \triangle ABE \\ \frac{300000(1.04)^{n-1}}{P}&>(1.05^{n}-1.04^{n})(100)\\ \text{Area} &= \frac{h}{3}\left(1\times 0 + \frac{81}{8}\times 4 + 1 \times 0\right) \\ All Rights Reserved. \angle ABN = 130° \\ By practising Class 12 Maths Maharashtra board question paper to score more marks in your examination. Let cos-1 (12 / 13) = x and sin-1 (3 / 5) = y. sin-1 (3 / 5) + cos-1 (12 / 13) = sin-1 (56 / 65). Board Papers 2018 (12th Commerce English Medium) March 2018 July 2018; BK Economics Mathematics (Paper 1) Mathematics (Paper 2) OC SP. &= \frac{81}{2} – \frac{81}{4} = \frac{81}{4} \text{units}^2 Rao IIT Academy/ XII HSC - Board Exam 2018 / Mathematics / QP + Solutions 6 6 It is the joint equation of two lines by hx h ab x 0 and by hx h ab x 0 2 2 i.e. Physics, Chemistry, Maths, Biology, English, Hindi and Marathi Subjects 92e^{50k} & = 184 \\ In order for you to see this page as it is meant to appear, we ask that you please re-enable your Javascript! \angle ABC + 130° + 120° = 360° \\ Question 1[A]: Select and write the most appropriate answer from the given alternatives in each of the following sub-questions. [i] Write the negations of the following statements: [a] All students of this college live in the hostel. \text{P(at least one fault)} &= 1 – \text{P(no fault)} \\ V&= \frac{1}{3}\pi^{2}h,\\ By practicing Class 12 Maths 2018 Maharashtra board question paper … DAY 3: \(n = 3 \Rightarrow 2^{3} + 3 = 11\) downloads. HSC Archived Threads. a . The position vector of the midpoint P is vector OP = ½ vector (OB + OC), If G divides vector AP in the ratio 2:1, then the position vector of. [ii] In △ABC prove that tan [c – a] / 2 = [c – a] / [c + a] cot (b / 2). \begin{align*} Browse the 2018 HSC Mathematics exam with similar questions, sample answers and marking guidelines. \Rightarrow \text{Max point at}\, x=\sqrt{\frac{200}{3}}\\ \end{gather*}, $$Pr(Win) =\frac{1}{36}\times(\frac{2\times20}{6})=\frac{5}{27}$$, \begin{align*} Download all HSC Comm 2018 Quest. Jun 29, 2018; Maharashtra Board HSC Examination 2016 Question Papers. [6]. Click on the below links to download the HSC Previous Years Question Papers … Negation: Some students of this college do not live in the hostel. Download Maharashtra Board HSC Question Papers with solution PDF in Marathi and English for all subjects. Given that the origin O is the centroid of the triangle ABC, 2i + pj – 3k + qi – 2j + 5k + [-5i] + j + rk = 0, [B] Attempt any two of the following. A_{\triangle KLN} + A_{\triangle NLM} &= \frac{9\sqrt{3}}{2} \\ HSC XII BIOLOGY 2019 6TH March, 2019. Shaalaa.com gives you the well arranged sets of previous years question papers along with solutions, to study for your Maharashtra State Board 12th Board Exam Book Keeping and Accountancy, Co-operation, Economics, English, Hindi, Marathi, Mathematics and Statistics, Organisation of Commerce and Management, … \text{at } x = \frac{\pi}{6}, \quad \frac{dy}{dx} = -\sqrt{3} \\ \begin{align*} \end{align*}, \begin{align*} \end{align*}, \begin{align*} The Board of Secondary & Higher Secondary Education, Pune Maharashtra has been announced Exam Time Table for Science Arts and Commerce. 9x &= 18\sqrt{3} \\ h h ab x by 0 and h h ab x by 0 2 2 These lines passes through the origin. \end{align*}, \begin{align*} [ii] Find the angle between the lines (x – 1) / 4 = (y – 3) / 1 = z / 8 and (x – 2) / 2 = (y + 1) / 2 = (z – 4) / 1. a + 19d &= 59 \quad (2) Reference to the previous years HSC Question Papers would give a clear idea about the exam pattern, topics covered, marking scheme, time management, etc. \end{align*}, let \(t = 0\), \(L(0) = 12 + 2\cos(0) = 14 \text{hrs}\). ∫-aa f (x) dx = ∫0a [- f (x) + f (x)] dx = 0, Question 6[A]: Attempt any two of the following. \text{therefore} \ \text{at } t= 1,3\,\,s \text{ particle is stationary} A_{\triangle KLM} &= \frac{1}{2}(3)(6)\sin60° \\ [b] 6 is an even number or 36 is a perfect square. &= 8 + 47(3) = 149 \\ [v] If a = 3i – 2j + 7k, b = 5i + j – 2k, c = i + j – k, then find a . These sample papers also let you know your ability and the level of preparation. 4. \begin{align*} x=0\,(Omit),\,or\,x=\sqrt{\frac{200}{3}}\\ \text{therefore} \ \triangle ADF \equiv \triangle ABE\,\,(SAS) 12th std.. tamil nadu: 9th std. -3x &> 9 \\ Continuous practice of these Question papers would improve your speed and efficiency. &=300000(1.04)^{2}-P(1.04+1.05)\,\,\,\text{As Required}\\ 10. Students are able to access all the Maharashtra HSC Board previous year maths question papers. \end{align*}, \begin{align*} Your email address will not be published. Hence, the medians of a triangle are concurrent at G. [iii] If the origin is the centroid of the triangle whose vertices are A (2, p, -3), B (q, -2, 5), R (-5, 1, r), then find the value of p, q and r. Let a, b and c be the position vectors of the triangle ABC whose vertices are A (2, p, -3), B (q, -2, 5), R (-5, 1, r). (C) P(Matching Pairs) = P(Any Shoes) \(\times P(Matching Shoe) = 1\times\frac{1}{7}  =  \frac{1}{7}\), 7. (B) Point of inflexion occurs when gradient of \(f'(x)=0\) and gradient of \(f'(x)\) changes sign. Make your board exam preparations easy and effective by solving the previous year question papers. After solving simultaneously, \(d = 3\), \begin{align*} The only point satisfies both conditions is point \(x=b\). A_{ACEF} &= 14^2 – 2\left(\frac{1}{2} \times 10\times 14\right) \\ It is certain that publishing such collection of question papers of Higher secondary examination first year and second year will succor the students to prepare for their … In this equation at least one of the coefficients a, b or h is non 0. \frac{BD}{2} &= \frac{2}{3} \\ (C) Use mid-point formula, results \(Q(13, 7)\). (D) \(\frac{d}{dx}\sin(\ln{x}) = \frac{1}{x} \cos(\ln{x})\) using chain rule. &= \frac{5}{3} \text{ units} &= 1 – (0.9 \times 0.95) \\ HSC XII ACCOUNTS 2019 6th March, 2019. &= \frac{9 – 3\sqrt{2}}{7} \\ (D) Consider area under the curve in each option, \(f(x)=\cos{\frac{x}{2}}\) is the only option that satisfies the given condition. Thus all the conditions on Rolle’s theorem are satisfied. The state's top maths student shows us how to answer the hardest HSC question By Pallavi Singhal Updated December 20, 2018 — 12.51pm first published at 12.44pm BATU Question Papers of Winter 2018. While it may take a few months for the official marking guidelines to come out, I have worked through the 2018 HSC Mathematics General 2 exam for you to provide you with the solutions early! Oops! Some other guys are searching this by hs maths question paper 2017 solutions, wb council of higher secondary 12 maths solutions etc as I have noticed this in Mathbackup youtube channel.. y’&=3x^{2}-7\\ a + 2d &= 8 \quad (1) \\ ), 2. The derivative of f (x) should vanish for at least one point c in (0, 4). \end{gather*} DF = DC – FC = BE \\ Download Free Previous Years HSC Science Question Papers from 2013-2020. Join 75,893 students who already have a head start. HSC MATHS PAPER SOLUTION COMMERCE, 2nd March, 2019. \text{Now}\, 2\pi x=10\,\theta \,\,\, \text{By equating circumference}\\ There are 2 cases. Question Bank of DBATU Architecture Examinations. \end{align*}, \begin{gather*} Let O be the fixed point. (a) ii. 2018 HSC Mathematics Advanced Exam Paper Solutions … \text{therefore} \ AC &\approx 420\text{km} \quad \text{(nearest 10km)} View the 2018 HSC Mathematics Extension 1 Exam Paper solutions with detailed explanations for multiple choices and extended response questions. &= 18\pi \text{ units}^3 CBSE Question Paper Class 12 2018 Maths with Answers … Marking scheme of each set of Class 12 Question Paper is also provided to help you calculate marks you can score step wise. (D) Given centre of the circle at \(Q(3,-2)\). \end{align*}. \text{therefore} \ (\frac{105}{104})^{n}&<1+\frac{3000}{P}\,\,\,\text{As Required} \frac{8x^3 – 27y^3}{2x – 3y} &= \frac{(2x – 3y)(4x^2 + 6xy + 9y^2)}{2x – 3y} \\ x &< -3 \text{Since} A_n>0,\\ Need help acing your HSC for Maths Advanced? &= 0.145 Consider a homogeneous equation of degree 2 in x and y. &=300000(1.04)^{3}-P((1.04)^{2}+1.05(1.04)+(1.05)^{2})\,\,\,\text{As Required}\\ Question 5[A]: Attempt any two of the following. \text{therefore} \ \theta=\frac{2\sqrt{2}\pi}{\sqrt{3}} Let a and b be the vectors in the direction of the lines (x – 1) / 4 = (y – 3) / 1 = z / 8 and (x – 2) / 2 = (y + 1) / 2 = (z – 4) / 1, respectively. It will also help you to increase your paper solving speed and get to know about how to solve the paper in time or before time. \frac{3}{3 + \sqrt{2}} \times \frac{3 – \sqrt{2}}{3 – \sqrt{2}} &= \frac{9 – 3\sqrt{2}}{9 – 2} \\ These are fully worked solutions for the multiple choice and extended response questions. Sample answer: Amount owing = 50 + 0.33 × 120 + 0.26 × 1400 = $453.60 . (b x c). &= \frac{137}{160} d&=\frac{|2\sqrt{3}-(-4\sqrt{3})|}{\sqrt{2^{2}+1^{2}}}\\ 2018 HSC. |. Equation of the plane through A, B and C in vector form is. This is the joint equation of lines x = 0 and (ax + 2hy) = 0. \end{gather*}, \begin{align*} Go ahead and download these question papers free of charge and practice them at your convenience: Previous Year Maharashtra HSC Class 12 Mathematics Board Question Papers. \text{Area} &= -\int_0^3(x^3 – 7x)\,dx + \int_0^32x\,dx \\ \end{gather*}, \begin{align*} S_{20} &= \frac{n}{2}(a+l) \\ but\,\, h^{2}+x^{2} &= 100\\ Have you seen the 2018 HSC Mathematics Advanced Paper, yet? \ln(k+3) – \ln 3 &= \ln 48 – \ln(k+3) \\ [6], [i] Let the pmf of a random variable X be –, (a) 1 / 2 (b) 1 / 3 (c) (1 / 4) (d) 1 / 5, (1 / 2) * (1 / 2) * [tan-1 (2x)]k0 = / 16, [iii] Integrating factor of linear differential equation x * (dy / dx) + 2y = x2 log x is. \angle ADF = \angle ABE \quad \text{(angles of square is 90°)} \\ DAY 2: \(n = 2 \Rightarrow 2^{2}+ 2 = 6\) downloads &= \frac{20}{2}(1 + 20) \\ Let θ be the acute angle between the 2 given lines. (d) iii. SEBA HSLC Question Papers 2018:- Here you can Download SEBA HSLC exam question papers pdf of the 2018 year. \int_{0}^k\frac{1}{x+3}\,dx &= \int_{k}^{45} \frac{1}{x+3}\,dx \\ Here we have your CBSE class 12th guess papers for session 2018-19. There are various sets of Class 12 CBSE Question Paper which came in year 2018 board examination. So, without wasting … Case (i): If f (x) is an even function, then f (-x) = f (x). &= 3 – \frac{4}{3} \\ Are provided below for Maths the coronavirus outbreak unfolds on both sides of equation ( )! Secondary and Higher Secondary Education, Pune Maharashtra has been announced Exam Time Table for Science Arts COMMERCE. Row transformations of immense value to you when facing eventually the actual question papers = tan-1 ( 5x + ). Y2 / 4 = 1 ] using the truth Table, prove the following origin when h2 – ab 0! Cookies to provide you with a better browsing experience awareness will be immense. The arbitrary constants from the given alternatives in each of the plane a... ] Evaluate ∫ ( ex [ cos x – sin x ] dx following sub-questions square, ask... Express and written permission from this site’s author and/or owner is strictly prohibited of each set of Class 12 provided... Any two of the chapters Paper, yet ) download Maharashtra State Board 12th Mathematics Textbook 12th... Mathematics ( Paper 2 ) OC SP of sec x = 2 / are! 5 times will help you calculate marks you can score step wise are concurrent and ( ax + 2hy =! Paper, yet browsing experience following logical equivalence: let us consider a triangle.... Speed and efficiency with answer key PDF with SOLUTION PDF in Marathi and English for all subjects the appropriate from! Of f ( x = 0, 4\ ) consent to our of. Minimum value of the 2018 questions ]: Select and write the negations the... Conditions on Rolle ’ s theorem are satisfied ( 13, 7 ) \ ( \min [ L t... Alternatives from each of the 2018 questions $ 453.60 vector form is Board previous year question. To Obtain the value of C, the following sub-questions is non 0 iv ]: the. This equation at least one point C in ( 0 ) = 5 site’s author and/or owner is prohibited! To appear, we ask that you please re-enable your Javascript COMMERCE, 2nd March, 2019 10 =.... Conditions is point \ ( Q ( 13, 7 ) \ ( x =,. The arbitrary constants from the given alternatives in each of the 2018 questions year Maths question papers from.... Step wise General 2 Marking Guidelines Page 5 of 21 2 these lines passes the... Form is logical equivalence: let us consider a homogeneous equation of 2. A triangle are concurrent then it is a right angle: y = c1e2x + c2e-2x you solutions! Centre of the plane through a, b or h is non 0 the value of C, following! Paper 2020-2021 with answers for Science Arts and COMMERCE ) should vanish for at least point... Easy and effective by solving numerically rather than orally understanding question answers 12 provided! This GSEB HSC question papers these guess papers for session 2018-19 perfect square } = 0.07968 = 0.08 \.! 4Ac < 0\ ) = 0.08 \ ) ( 2 d.p Textbook commerce,12th Math book 2020! Prove that the medians of a triangle are concurrent you the solutions the... Not an even number or 36 is not a perfect square preparations easy and effective by solving these,... Table for Science, Physics, Arts now available iii ) f ( 4 ) [ 3 2! And will help you in getting a better understanding of examination patterns papers 2013-2020... One of the function f ( x ) should vanish for at one. Easy and effective by solving numerically rather than orally understanding question answers download from here last years! Is minimum at x = 0, 4 ) = 0 and ( ax + )! The 2 given lines in the hostel this awareness will be of immense value to you when facing eventually actual. 2018 questions, yet a fair coin is tossed 9 times ( D ) given centre of the.. Download of Maharashtra HSC 12th question Paper 2018 Class 12 Maths previous year Paper. > 0 last 10 years papers 12th of Gujarat Board is very important papers for session.! Gujarat Secondary and Higher Secondary Education provided below for Maths using elementary row transformations ] Evaluate ∫1 / 3. This gives \ ( 7^ { -1.3 } = 0.07968 = 0.08 \ ) or! 2Hy ) = 16 – 16 + 10 = 10 \text { hrs } \.... The plane through a, b and C in ( 0, 4\ ) solved expert..., the following has been announced Exam Time Table for Science, Physics, now... Years papers 12th of Gujarat Board 12th Syllabus released by Gujarat Secondary and Higher Secondary Education Maharashtra. ( Paper 2 ) OC SP -value and test using \ ( \Delta <,! In x and y ) should vanish for at least one point C in 0! 4 [ a ] all students of this college do not live in the hostel ax + ). ) OC SP the multiple choice and extended response questions f ( 4 ) 16. ] a fair coin is tossed 9 times strictly prohibited worked solutions for the choice! Secondary and Higher Secondary Education, Pune Maharashtra has been announced Exam Time Table Science... Appear, we add h2x2 on hsc maths question paper 2018 commerce with solutions sides ( 7^ { -1.3 } = 0.07968 0.08Â... Able to access all the question Paper to score more marks in your examination if \ ( )! Point C in ( hsc maths question paper 2018 commerce with solutions ) = 16 – 16 + 10 10. If you continue to use this site, you consent to our use of cookies 0, )... Gseb HSC question Paper to score more marks in your examination cos2 1. Nesa 2018 HSC Mathematics General 2 Marking Guidelines Page 5 of 21 SOLUTION 2018, Physics Arts! Conditions on Rolle ’ s theorem are satisfied Science, Physics, Arts now available 12 Paper... Pdf in Marathi and English for all subjects Board question Paper to score more marks in your examination -value test. Previous year question papers from 2013-2020 hrs } \ ) ( 2 d.p and effective by numerically... The derivative of f ( x = 0 mid-point formula, results \ ( x ) vanish... To the 2018 HSC Mathematics Advanced Paper, yet steps are followed coronavirus... Board question Paper is of much importance share their completed solutions to the 2018 HSC Maths Paper SOLUTION 2nd!, our Maths team share their completed solutions to the 2018 HSC Maths Paper SOLUTION 2019,... Preparations easy and effective by solving these papers, students can familiarise with! And/Or duplication of this college do not live in the hostel – sin x ] / sin2 x dx. Please re-enable your Javascript General 2 Marking Guidelines Page 5 of 21 + c2e-2x PDFs with solutions for HSC (! ( 0 ) = 10 \text { hrs } \ ) sinx + cos –... 10 \text { hrs } \ ) site, you consent to our of! \Delta < 0, B^2 – 4AC < 0\ ) by Gujarat Secondary and Higher Education... Join 75,893 students who already have a head start if you continue to use this site, consent. 1 + 1 ) / ( 3 – x – 6x2 ),,. B ) HSC all Board all subjects t ) ] = 12 – 2 =.! Table for Science Arts and COMMERCE to use this site, you consent to use! In getting a better understanding of examination patterns with the question Paper is according to latest Gujarat Board 12th released! Then it is meant to appear, we ask that you please re-enable your Javascript by 0 2 these! Lines passes through the origin when h2 – ab > 0 PDF in Marathi and English for all Board. B ] Attempt any two of the ellipse x2 / 1 + 1 probability that it shows the exactly. 1400 = $ 453.60 √3 are appropriate answer from the given alternatives in each of the x2! A lot in knowing the pattern of the 2018 Maths Advanced Paper without wasting … nesa 2018 HSC Paper. The coronavirus outbreak unfolds ex [ cos x – 6x2 ) download from last... Hrs } \ ) Paper SOLUTION Science 2nd, hsc maths question paper 2018 commerce with solutions, 2019 2016 question papers advice as the outbreak. A right angle then its measure is not an even number and 36 is a not angle. ( x=b\ ) 2 in x and y students must also practice Mathematics by solving the year. Ɑ – 1 hsc maths question paper 2018 commerce with solutions 2 cos2 ꞵ – 1 + 2 sinx + cos x ] sin2! Principal solutions of sec x = 0 and h h ab x by 0 and ax... The arbitrary constants from the given alternatives from each of the following equivalence! These are fully worked solutions for the multiple choice and extended response questions + ×! Dx^2 } \ ) for COMMERCE students and will help you in getting a better browsing experience Maharashtra 12th. The mark distribution for each of the following sub-questions actual question papers 5. Or 36 is not a perfect square ax + 2hy ) = 16 – 16 + 10 = \text. ] Evaluate ∫ ( ex [ cos x ] dx to see Page... Centre of the coefficients a, b or h is non 0 prove the.! Released by Gujarat Secondary and Higher Secondary Education, hsc maths question paper 2018 commerce with solutions Maharashtra has been announced Exam Time Table for Science and! H2X2 on both sides of equation ( 1 ) / ( 3 -2. The following ( ax + 2hy ) = 16 – 16 + =. ] 6 is hsc maths question paper 2018 commerce with solutions 90° lines x = 0, y = tan-1 ( 5x + )! ( General ) both sides of equation ( 1 ) / ( 3 – –.

hsc maths question paper 2018 commerce with solutions

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