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# ISC Board Specimen 2013 : Mathematics

6 pages, 41 questions, 40 questions with responses, 85 total responses,    0    0
 ISC 12th Indian School Certificate Examination (ISC), New Delhi
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MATHEMATICS (Three hours) (Candidates are allowed additional 15 minutes for only reading the paper. They must NOT start writing 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. Slide rule may be used. --------------------------------------------------------------------------------------------------------------------SECTION A Question 1 [10 3] 3 1 , find x and y so that A2 + xI2 = yA. 7 5 (i) If A (ii) Evaluate: tan[2Tan-1(1/5) - (iii) Find the value(s) of k so that the line 3x 4y + k = 0 is tangent to the hyperbola x2 4y2 = 5. (iv) Evaluate: / 4] x 1 Lim x 1 log x x 1 (v) Evaluate: (vi) xe x dx ( x 1) 2 Evaluate [ 2 0 2cos x sin 2x dx 2(1 sin x) 1 ISC Specimen Question Paper 2013

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