CAT-C MATHS PAPER B.pdf

CAT-C MATHS PAPER B.pdf - FACULTY RECRUITMENT TEST...

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FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi - 110016. Ph: 46106000/10/13/15 Fax : 26513942. FACULTY RECRUITMENT TEST CATEGORY-C Formal School Education/XI, XII MATHEMATICS PAPER B Time: 60 Minutes. Maximum Marks: 40 Name: ........................................................................................................ Subject: ..................................................................................................... Marks: Instructions: Attempt all questions. This question paper has two Parts, I and II. Each question of Part I carries 2 marks and of Part II carries 5 marks. Calculators and log tables are not permitted PART I 1. Let f(x) = 3 2 2 2 x x 10x 5 , x 1 2x log b 2 , x 1 , find the set of values of b for which f(x) have greatest value at x = 1. 2. In the expansion of (1 + x + x 2 + ....... + x 27 )(1 + x + x 2 + ...... + x 14 ) 2 , find the coefficient of x 28 ? 3. Find the greatest & the least values of |Z 1 + Z 2 | if Z 1 = 24 + 7i & |Z 2 | = 6. 4. Prove that, the normal to y 2 = 12x at (3, 6) meets the parabola again in (27, 18) and circle on this normal chord as diameter is x 2 + y 2 30x + 12y 27 = 0.
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