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ARYA VIDYA MANDIR, BANDRA WEST PRE-PRELIM REVIEW JANUARY 2021 STD: X MATHS Marks: 80 Date: 19-01-2021 MATHEMATICS Time: 2 hrs ________________________________________________________________________________ Answers to this paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading the question paper. The time given at the head of this paper is the time allowed for writing the answers. ________________________________________________________________________________ Attempt all questions from Section A and any four from Section B All working including rough wok must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in the loss of marks The intended marks for questions or parts of questions are given in brackets [ ]. This paper consists of six printed pages. ______________________________________________________________________________________ Section A I - 40 marks (Attempt all questions from this section) Question 1: a) Ram has a cumulative deposit account in a post-office. He deposits Rs. 500 per month for 4 years. If at the end of maturity period she gets Rs. 28410, find the rate of interest paid by the post -office. b) Find: BA [3] [3] Sec 60o cos 90o A= cot 45o 0 B= -3 tan 45o sin 90o -4 sin 30o 3 sin 90o Prove c) Factorise the following: 2x4 + x3 14x2 19x - 6 using Factor theorem. [4] Question 2: a) If A = {x: 11x 5 > 7x + 3, x R} and Q = {x: 18x 9 15 + 12x, x R}; Find the range of the set A B and represent it on the number line. [3] b) In an A.P. the first term is 25, nth term is -17 and the sum of n terms is 132. Find n and the common difference. [3] Prove c) Prove: cos A 1 tan A + sin2 A sin A cos A = sin A + cos A [4] ..2
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