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Class XII Subject MATHEMATICS M.M. 100 (TIME: 3 HOURS) (Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start working 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. SECTION A Question 1 tan x 1 cos 2 x sin 2 x (i) If A , show that A ' A 1 . tan x 1 sin 2 x cos 2 x [3] (ii) Given two regression lines 4x + 3y + 7 = 0 and 3x + 4y + 8 = 0, determine : [3] (a) The regression line of y on x. (b) Mean of x and y. (c) The coefficient of correlation. (iii) Solve: cos 1[sin (cos 1 x)] [3] 3 (iv) Find the value of k, if the equation 8x2 16 xy ky 2 22 x 34 y 12 represents an ellipse. 1 [3]
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