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CBSE XII Sample / Mock 2017 : MATHEMATICS (with Marking Scheme / Solutions)

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SAMPLE QUESTION PAPER CLASS-XII (2016-17) MATHEMATICS (041) Time allowed: 3 hours Maximum Marks: 100 General Instructions: (i) All questions are compulsory. (ii) This question paper contains 29 questions. (iii) Question 1- 4 in Section A are very short-answer type questions carrying 1 mark each. (iv) Question 5-12 in Section B are short-answer type questions carrying 2 marks each. (v) Question 13-23 in Section C are long-answer-I type questions carrying 4 marks each. (vi) Question 24-29 in Section D are long-answer-II type questions carrying 6 marks each. SECTION-A Questions from 1 to 4 are of 1 mark each. 1. What is the principal value of 2. A and B are square matrices of order 3 each, | | = 2 and | | = 3. Find | 3. What is the distance of the point (p, q, r) from the x-axis? 4. Let f : R R be defined by f(x) = 3x2 5 and g : R R be defined by g(x) = . /? | . Find gof SECTION-B Questions from 5 to 12 are of 2 marks each. 5. How many equivalence relations on the set {1,2,3} containing (1,2) and (2,1) are there in all ? Justify your answer. 6. Let li,mi,ni ; i = 1, 2, 3 be the direction cosines of three mutually perpendicular vectors in space. Show that AA = I3 , where A = [ ]. 7. If ey (x + 1) = 1, show that 8. Find the sum of the order and the degree of the following differential equations: + +( 1 +x) =0

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