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ISC Class XII Board Exam 2020 : Mathematics

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Debjyoti Chakraborty
The Heritage School, Kolkata
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MATHEMATICS (Maximum Marks: 100) (Time allowed: Three hours) (Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start writing during this time.) --------------------------------------------------------------------------------------------------------------------Section A - Answer Question 1 (compulsory) and five other questions. Section B and Section C - Answer two questions from either Section B or Section C. All working, including rough work, should be done on the same sheet as, and adjacent to, the rest of the answer. The intended marks for questions or parts of questions are given in brackets [ ]. Mathematical tables and graph papers are provided. Slide rule may be used. --------------------------------------------------------------------------------------------------------------------- SECTION A (80 Marks) [10 3] Question 1 (ii) 6 is symmetrix, find the value of x. 2 15 10 If y 2x k = 0 touches the conic 3x2 5y2 = 15, find the value of k. (iii) Prove that (iv) Using L Hospital s Rule, evaluate: (i) If the matrix = ( 2 (v) Evaluate: (vi) Evaluate: (vii) . sec ) log(1 + ) By using the data =25, =30, byx = 1 6 and bxy = 0 4, find: (a) The regression equation y on x. (b) What is the most likely value of y when x = 60? (c) What is the coefficient of correlation between x and y? --------------------------------------------------------------------------------------------------------------------This Paper consists of 5 printed pages and 1 blank page. 1217-860 Turn over Copyright reserved.

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