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GOKULDHAM HIGH SCHOOL & JUNIOR COLLEGE SECOND PRELIMINARY EXAMINATION 2019-2020 STD: X DATE:13.01.2020 MAX. MARKS: 80 TIME: 2 hrs.30 min. ________________________________________________________________ MATHEMATICS (Two hours and a half) 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 questions from Section B. All working, including rough work, 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 loss of marks. The intended marks for questions or parts of questions are given in brackets [ ]. Mathematical tables are provided. SECTION A (40 Marks) Attempt all questions from this Section. Question 1 (a) Mr. Gupta has a recurring deposit account of Rs. 500 per month at 6.5% per annum. If he gets Rs.812.50 as interest at the time of maturity, find the total time for which the account was held. (b) Solve the following inequation and write the solution set: 4 4 5 2 ( + 1 ) < , x R 3 4 3 6 Represent the solution set on a real number line. (c ) The point Q ( 3, k ) divides the line segment joining the points P(9, 4 ) and R(-9 , 7 ). Find : (i) The ratio in which point Q divides the join of points P and R. (ii) The value of k . (iii) Slope of a line parallel to PR. This paper consists of 7 printed pages [3] [3] [4]
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