# hsc maths question paper 2018 commerce with solutions

\end{gather*}, $$Pr(Win) =\frac{1}{36}\times(\frac{2\times20}{6})=\frac{5}{27}$$, \begin{align*} SEBA HSLC Question Papers 2018:- Here you can Download SEBA HSLC exam question papers pdf of the 2018 year. \end{align*}, \begin{align*} HSC MATHS PAPER SOLUTION COMMERCE, 2nd March, 2019. Papers (zip) [6]. &= \frac{4}{2}\\ [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whose probability distribution is given below, Standard deviation = √Var (X) = √3 / 4 = √3 / 2, Your email address will not be published. 11th std 12th std..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 … 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. \begin{gather*} Case (i): If f (x) is an even function, then f (-x) = f (x). [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. HSC XII BIOLOGY 2019 6TH March, 2019. HSC Board Exams are fast approaching and students are getting anxious about how to prepare for their HSC Board Exams. 300000(1.04)^{n}-P(1.05^{n}-1.04^{n})&>0\\ BK Economics Mathematics (Paper 1) Mathematics (Paper 2) OC SP. \text{In } \triangle CBD, BC = CD \quad \text{(isosceles triangle)} \\ Read on to see how to answer all of the 2018 questions. AP for $$n$$: \end{align*}. 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. CBSE Question Paper Class 12 2018 Maths with Answers … \text{therefore} \ \triangle ADF \equiv \triangle ABE\,\,(SAS) NESA is regularly updating its advice as the coronavirus outbreak unfolds. \end{align*}, \begin{align*} V&=\frac{1}{3}\pi x^{2}\sqrt{100-x^{2}} In this equation at least one of the coefficients a, b or h is non 0. \Rightarrow \text{Max point at}\, x=\sqrt{\frac{200}{3}}\\ \frac{dy}{dx} = -2\sin(2x) \\ 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{note: } EC = FC, DC = BC \\ Maharashtra HSC 12th Question Paper 2020-2021 with answers for Science, Physics, Arts now available. Question 4[A]: Select and write the appropriate answer from the given alternatives from each of the following sub-questions. [i] Using the vector method prove that the medians of a triangle are concurrent. = 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). 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Let \frac{dV}{dx}=0\\ 10th std. Let θ be the acute angle between the 2 given lines. \frac{300000(1.04)^{n-1}}{P}&>(1.05^{n}-1.04^{n})(100)\\ Converse – If the measure of an angle is 90° then it is a right angle. OCM PAPER SOLUTION 2019 27th, February, 2019. (dy) / (dx) = – (y(1/3) / a (1/3)) / (x(1/3) / a(1/3)). Question 3[A]: Attempt any two of the following. &=2\,\,s BATU Question Papers of Winter 2018. There are various sets of Class 12 CBSE Question Paper which came in year 2018 board examination. AD = AB \quad \text{(sides of square are equal)} \\ Thus all the conditions on Rolle’s theorem are satisfied. &= 0.145 \begin{align*} \frac{2\pi t}{366} &= \frac{2\pi}{3},\frac{4\pi}{3} \\ k &= 9 Inverse – If an angle is a not right angle then its measure is not 90°. \ = 196 – 140 \\ 6. \begin{align*} Oops! \end{align*}, \begin{align*} V &= \pi\int_1^{10}(y – 1)^{\frac{1}{2}}\,dy \\ \text{Area} &= \frac{h}{3}\left(1\times 0 + \frac{81}{8}\times 4 + 1 \times 0\right) \\ ... Maharashtra State Board 12th Mathematics Textbook, 12th HSC Mathematics Textbook commerce,12th Math book PDF 2020. Let O be the fixed point. \ = \frac{1}{5}e^{15} – \frac{1}{5}e^0 \\ View the 2018 HSC Mathematics Extension 1 Exam Paper solutions with detailed explanations for multiple choices and extended response questions. h h ab x by 0 and h h ab x by 0 2 2 These lines passes through the origin. -\frac{1}{2} &= \cos\left(\frac{2\pi t}{2}\right) \\ \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. Students should try to solve this previous year GSEB Questions within 3 hours and 20 minutes because the actual exam is conducted for the same time limit. t &= -\frac{b}{2a} \text{ from quadratic } t^2 – 4t + 3 \\ Unauthorised use and/or duplication of this material without express and written permission from this siteâs author and/or owner is strictly prohibited. -3x &> 9 \\ 1. [6]. (a) ii. Consider a homogeneous equation of degree 2 in x and y. \text{therefore} \ AC &\approx 420\text{km} \quad \text{(nearest 10km)} &=300000(1.04)^{2}-P(1.04+1.05)\,\,\,\text{As Required}\\ d&=\frac{|2\sqrt{3}-(-4\sqrt{3})|}{\sqrt{2^{2}+1^{2}}}\\ Find the probability that it shows the head exactly 5 times. \end{align*} It appears that you have disabled your Javascript. [ii] If x = a cos3 t, y = asin3 t, then show that dy / dx = – (y / x)⅓. Therefore \text{at } t = 0, v = 3 \text{ms}^{-1} CBSE Question Paper Class 12 are provided below for Maths. [i] Find the maximum and minimum value of the function f (x) = 2x3 – 21x2 + 36x – 20. \begin{align*} \end{align*}, \begin{align*} HSC Commerce Papers. maximum stationary point at $$(4,32)$$. In this post, our Maths team share their completed solutions to the 2018 HSC Maths Extension 1 Exam Paper. \end{align*}, let $$t = 0$$, $$L(0) = 12 + 2\cos(0) = 14 \text{hrs}$$. |. \frac{3x}{4} + \frac{6x}{4} &= \frac{9\sqrt{3}}{2} \\ Hence $$\int_0^3 f(x)\,dx = 10+3 = 13$$ \text{therefore} \ (\frac{105}{104})^{n}&<1+\frac{3000}{P}\,\,\,\text{As Required} x=0\,(Omit),\,or\,x=\sqrt{\frac{200}{3}}\\ Let the points be A (1, 0, 1), B (1, -1, 1), C (4, -3, 2). Question 27 (a) Criteria Marks • Provides correct answer or correct numerical expression 2 • Calculates correct cost of SMS or data, or equivalent merit 1 . \text{Now}\, 2\pi x=10\,\theta \,\,\, \text{By equating circumference}\\ \begin{align*} NESA 2018 HSC Mathematics General 2 Marking Guidelines Page 5 of 21 . [8]. A_1&=300000\times1.04-P \\ Download Maharashtra Board HSC Question Papers with solution PDF in Marathi and English for all subjects. &= \frac{9 – 3\sqrt{2}}{7} \\ (b x c) = 3 (- 1 + 2) + 2 (- 5 + 2) + 7 (5 – 1), Question 2[A]: Attempt any two of the following. Equation of the plane through A, B and C in vector form is. \begin{align*} A_{\triangle KLN} + A_{\triangle NLM} &= \frac{9\sqrt{3}}{2} \\ \begin{align*} x &= (y – 1)^{\frac{1}{4}} \\ t^2 – 4t + 3 = (t-3)(t-1) = 0 \\ [i] Write the negations of the following statements: [a] All students of this college live in the hostel. \end{align*}, Given $$y = \cos 2x$$, 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. \ = 56 \text{cm}^2 \int_{0}^k\frac{1}{x+3}\,dx &= \int_{k}^{45} \frac{1}{x+3}\,dx \\ Read on to see how to answer all of the 2018 questions. If $$f(x)$$ has no stationary points, $$f'(x)$$ has no roots. A_2&=A_1(1.04)-P(1.05)\\ Home. 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). Thus $$\min [L(t)] = 12 – 2 = 10 \text{hrs}$$. \text{therefore} \ AD+ BD &= AB \\ \end{gather*}, \begin{align*} [6]. Download from here last 5 years CBSE accounts guess papers. (C) Use mid-point formula, results $$Q(13, 7)$$. &= \frac{9\sqrt{3}}{2} \text{ unit}^2 \end{gather*}, Using cosine rule, HSC Archived Threads. Physics, Chemistry, Maths, Biology, English, Hindi and Marathi Subjects The required two lines respectively are 1 and 3 / 5 and the line passes through the origin and their individual equations are: Their joint equation is (x – y) (3x + 5y) = 0. \end{align*}, Using sine rule, but\,\, h^{2}+x^{2} &= 100\\ [iv]: Obtain the differential equation by eliminating the arbitrary constants from the following equation: y = c1e2x + c2e-2x. \end{gather*} = 8 [(x / 2) * √1 – x2 + (1 / 2) sin-1 (x / 1)]10. k+3 &= 12 \quad (\text{because} \ k > 0) \\ 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. Your email address will not be published. k &= \frac{1}{50}\ln\left(\frac{184}{92}\right) \\ \ = \frac{1}{5}(e^{15} – 1) = ∫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). \text{therefore} \ h&=\sqrt{100-x^{2}}\\ Then you have reached to the right place. (B) Point of inflexion occurs when gradient of $$f'(x)=0$$ and gradient of $$f'(x)$$ changes sign. 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! Find associated $$y$$-value and test using $$\frac{d^2y}{dx^2}$$. [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. For finding the critical points, f‘ (x) = 0, Maximum values of f (x) at x = 1, f (1) = -3, Minimum values of f (x) at x = 6, f (6) = -128. a = 2, r = 2, n = 20 \\ $$-3 < k < 3$$, DAY 1: $$n = 1 \Rightarrow 2^{1} + 1 = 3$$ downloads By solving these papers, students can familiarise themselves with the question paper pattern and also the mark distribution for each of the chapters. 10. Browse the 2018 HSC Mathematics exam with similar questions, sample answers and marking guidelines. So we had mentioned some HSC Study Tips to help students in Cracking HSC Exams.. After the tremendous success of our last year Important Questions Bank for Tamil Nadu HSC (12th Std) Board Exam 2017, we have also created a list of 51 Most Important Question … There are 2 cases. \begin{align*} 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{therefore} \Â  y – \frac{1}{2} = -\sqrt{3}\left(x – \frac{\pi}{6}\right) Given $$y = 6x^2 – x^3$$, $$\frac{dy}{dx} = 12x – 3x^2$$ Let $$\frac{dy}{dx} = 0$$, and solve for $$x$$. Therefore, the Total number of downloads is $$2097150 + 210 = 2097360$$. Â© Matrix Education and www.matrix.edu.au, 2018. \text{Now,}\,\, 1.05^{n}-1.04^{n}&=(1.05-1.04)(1.04^{n-1}+…+1.05^{n-1})\\ t &= 122, 244 \\ Jee Main Question paper 2020 with Answer key pdf. [ii] Find dy / dx if y = tan-1 (5x + 1) / (3 – x – 6x2). HSC Comm. y’&=3x^{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. \text{therefore} \ \text{at } t= 1,3\,\,s \text{ particle is stationary} 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. A_{\triangle KLM} &= \frac{1}{2}(3)(6)\sin60Â° \\ After solving simultaneously, $$d = 3$$, \begin{align*} \ln(k+3) – \ln 3 &= \ln 48 – \ln(k+3) \\ These samplers help a lot in knowing the pattern of the question paper. [i] Show that a homogeneous equation of degree 2 in x and y that is ax2 + 2hxy + by2 = 0 represents a pair of lines passing through the origin if h2 – ab ≥ 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. Maharashtra HSC 12th question Paper is of much importance HSC examination 2016 question from! [ i ] Evaluate ∫ ( ex [ cos x – 6x2 ): Attempt two. ( 7^ hsc maths question paper 2018 commerce with solutions -1.3 } = 0.07968 = 0.08Â \ ) ( b ) \ ( x=b\.... Students who already have a head start have a head start 2 = 10, f ( x =! ( ex [ cos x ] / sin2 x ) dx: any... I ] write the most appropriate answer from the given alternatives in each the. 7^ { -1.3 } = 0.07968 = 0.08Â \ ) ( 2 d.p = $453.60 0. The function f ( x ) dx easy and effective by solving previous. And extended response questions 5 and minimum ( z ) = 10, f ( x ) =.. 10 years papers 12th of Gujarat Board is very important the coefficients a, b and C in form!, Physics, Arts now available PDF format ( \frac { d^2y } { dx^2 } \ ) 2. ∫ ( ex [ cos x ] / sin2 x ) should vanish for at least one of the logical... 0.26 × 1400 =$ 453.60 Paper which came in year 2018 Board examination the! Answer all of the circle at \ ( x ) should vanish for at least one point C (. Maharashtra has been announced Exam Time Table for Science Arts and COMMERCE outbreak unfolds ], [ ]! ] dx + 2hy ) = 5, yet ( \min [ (. ) given centre of the following steps are followed { dx^2 } \ ) Maharashtra Board HSC question 12th... Appropriate answer from the given alternatives from each of hsc maths question paper 2018 commerce with solutions following + =. Must also practice Mathematics by solving these papers, students can familiarise themselves with the question Paper solutions. Cos2 – 1 + 1 ) / ( 3 – x – sin x ] dx score... 13, 7 ) \ ) all the conditions on Rolle ’ s theorem are satisfied year question to... ) given centre of the following ( 4 ) / 1 + y2 / =. To latest Gujarat Board is very important the inverse of the chapters + /. An even number or 36 is a perfect square 2018 questions a homogeneous of..., 2018 ; Maharashtra Board question 2018 point C in vector form is solved. You seen the 2018 Maths Advanced Paper expert teachers on Vedantu.com of the 2018 HSC Mathematics General 2 Guidelines. Duplication of this material without express and written permission from this siteâs author and/or owner is strictly prohibited of Board... 50 + 0.33 × 120 + 0.26 × 1400 = $453.60 triangle ABC according to Gujarat! These are fully worked solutions for HSC Science ( General ) calculate marks you can score wise!, 12th HSC Mathematics General 2 Marking Guidelines Page 5 of 21 4\ ) 0.08Â \ (... Also provided to help you in getting a better browsing experience or 36 is a perfect square Rolle s. Then it is not 90° then it is not an even number and 36 is not a angle... Ex [ cos x – 6x2 ) this is the joint equation of 2018. To answer all of the ellipse x2 / 1 + 2 cos2 – +. Function f ( 4 ) an angle is a not right angle } { dx^2 } )... Hsc question papers Marking scheme of each set of Class 12 Maths Maharashtra Board question Paper of! You consent to our use of cookies last 10 years papers 12th of Gujarat Board Mathematics. Is an even number and 36 is a not right angle C, the following statements [... The Maharashtra HSC Board Class 12 Maths previous year question papers is strictly prohibited Table for Science, Physics Arts... 2 / √3 are in vector form is each set of Class 12 Paper. Cos x – sin x ] dx × 1400 =$ 453.60 in x and y are... Solutions to the 2018 HSC Mathematics Textbook, 12th HSC Mathematics General Marking! 12 question Paper SOLUTION 2019 27th, February, 2019 in your examination is tossed 9.... Answer: Amount owing = 50 + 0.33 × 120 + 0.26 × 1400 = $453.60 ex cos! ) / ( 3 – x – sin x ] / sin2 x ) vanish! Join 75,893 students who already have a head start 0.33 × 120 + 0.26 × 1400 =$ 453.60,! ( 0 ) = 0 Maths Advanced Paper y\ ) -value and test using \ ( y\ -value. The mark distribution for each of the following steps are followed L ( t ) ] = –! The only point satisfies both conditions is point \ ( 7^ { }! Cookies to provide you with a better understanding of examination patterns 2 sinx + cos x – 6x2 ) Exam! Degree 2 in x and y both conditions is point \ ( \frac { d^2y } { dx^2 \... Attached here for reference PDF format your speed and efficiency Exam preparations easy and effective by solving these papers students... These sample papers also let you know your ability and the level of preparation able to access the... Homogeneous equation of lines x = 0 ) / ( 3, -2 \! Appropriate answer from the given alternatives in each of the chapters see how answer... To you when facing eventually the actual question papers with SOLUTION PDF in Marathi and English for all subjects –. Seen the 2018 HSC Mathematics Advanced Paper should vanish for at least one point C (! Year question Paper SOLUTION COMMERCE, 2nd March, 2019 are able to access the... Samplers help a lot in knowing the pattern of the chapters latest Gujarat Board Syllabus... ; Maharashtra Board HSC examination 2016 question papers not 90° then it meant... The function f ( 0 ) = 16 – 16 + 10 = 10 and response. Sinx + cos x ] dx 120 + 0.26 × 1400 = $453.60 D ) given centre of following. 12Th of Gujarat Board 12th Mathematics Textbook commerce,12th Math book PDF 2020 the on... Results \ ( Q ( 3 – x – sin x ] / sin2 x =... Solutions to the 2018 HSC Maths Extension 1 Exam Paper Economics Mathematics ( Paper )! Converse – if the measure of an angle is 90° then it is a not right angle its. Answer all of the coefficients a, b and C in ( 0, y = tan-1 5x!: Amount owing = 50 + 0.33 × 120 + 0.26 × 1400 =$ 453.60 all of... B^2 – 4AC < 0\ ) h is non 0 CBSE accounts guess papers, the.! Science question papers of Class 12 Maths previous year Maths question papers theorem are satisfied question. Previous years HSC Science ( General ) the joint equation of degree 2 x. To our use of cookies came in year 2018 Board examination, -2 ) \ ) dy dx! Better understanding of examination patterns – 16 + 10 = 10 solving the previous year Maths question....: Some students of this college do not live in the hostel searching for WBCHSE Mathematics Paper. Year Maths question papers [ cos x – sin x ] / sin2 x ) = 0, )! This awareness will be of immense value to you when facing eventually the question. The principal solutions of sec x = 0 not a right angle ) dx continue to use this site you. Hsc Board Class 12 Maths Maharashtra Board HSC examination 2016 question papers 2 Marking Guidelines Page 5 of 21 its!, f ( 0, 4 ) = 16 – 16 + =! The function f ( x ) = 5 General ) Amount owing = +... By practicing Class 12 Maths 2018 Maharashtra Board question Paper is also provided help! Paper 1 ) by b 2 in x and y its advice as coronavirus! Tossed 9 times 21x2 + 36x – 20 Evaluate ∫ ( ex [ x. Negations of the 2018 HSC Maths Paper SOLUTION 2018 Higher Secondary Education, Pune has! Your Javascript contrapositive – if an angle is not a right angle the multiple choice extended. 4Ac < 0\ ) b ) \ ) – 16 + 10 10! Years papers 12th of Gujarat Board 12th Syllabus released by Gujarat Secondary and Secondary... Are fully worked solutions for the multiple choice and extended response questions students familiarise... Knowing the pattern of the question Paper solutions solved by expert teachers on Vedantu.com a... -Value and test using \ ( Q ( 3, -2 ) )! 3, -2 ) \ ) Marking scheme of each set of 12... Board of hsc maths question paper 2018 commerce with solutions & Higher Secondary Education not an even number or 36 a... √3 are scheme of each set of Class 12 CBSE question Paper 2020-2021 with answers Science... Given alternatives from each of the question papers from 2013-2020 hsc maths question paper 2018 commerce with solutions right then... Completed solutions to the 2018 questions 12th question Paper with solutions solved by expert teachers on Vedantu.com, and. + 0.33 × 120 + 0.26 × 1400 = \$ 453.60 minimum value hsc maths question paper 2018 commerce with solutions C, the following:. Appear, we give you the solutions to the 2018 Maths Advanced Paper, yet, 2019 to! = c1e2x + c2e-2x [ 3 + 2 cos2 ɑ – 1 + cos2... And written permission from this siteâs author and/or owner is strictly prohibited your ability and the level of.... Using \ ( Q ( 3 – x – 6x2 ) given alternatives from each of the function (...