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ICSE Prelims 2016 : Compilation Term 1 (Vibgyor High School, Pune (NIBM Road))
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Suraj Rathi
Vibgyor High School, Pune (NIBM Road)
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VIBGYOR High First Term Examination 2015 - 16 MATHEMATICS Grade : X Date : 21.09.2015 Max. Marks : 80 Time Allowed: 2 hours INSTRUCTIONS:Answer 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. The intended marks for the questions or parts of questions are given alongside the questions. Attempt ALL questions from SECTION A (Questions 1 to 4) Do ANY 4 questions from SECTION B (Question 5 to 11) SECTION A (40 marks) Attempt all questions Question 1 a. Solve the following inequation and graph the solution on number line: 13x - 5 < 15x + 4 < 7x + 12 , x R . a 2 b 2 b( a c ) b. If a, b and c are in continued proportion, prove that: b( a c ) b 2 c 2 c. Prove the identity sinA (1+ tanA) + cosA(1+ cotA) = secA + cosecA [3] [3] [4] Question 2 a. [3] b. c. 2 0 a b Given A= B= and AB = 2A - B, find the values of a ,b and c 0 3 0 c Find the equation of the line parallel to the line 3x 5y = 7 and passing through the point which divides the line segment joining the points (-3,3) and (2,-7) in a ratio 2:3. [3] On a certain sum of money ,the difference between compound interest for a year , payable half yearly, and the simple interest for a year is `16.Find the sum lent out if rate of interest in both cases is 8%. 1 [4]
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