Transcription of BOARD OF INTERMEDIATE EDUCATION A.P.: …
1 BOARD OF INTERMEDIATE EDUCATION : HYDERABADMODEL QUESTION paper 2012-13 MATHEMATICS - IA(English Version)Time: 3 hoursMax. Marks: 75 Note: This Question paper consists of three sections A, B and C SECTION - A10 x 2 = 20 Short Answer Questions:(i) Answer All Questions(ii) Each Question carries Two 2,3,4,6,0 SSSSAand BAfo: is a surjection defined by xxfcos)( then find the domain of the real-valued function )2log(1x . certain bookshop has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economicsbooks. Their selling prices are Rs. 80, Rs. 60 and Rs. 40 each respectively. Find the totalamount the bookshop will receive by selling all the books, using matrix 3542A, then find AAc and that the points whose position vectors are cba532 , cba32 , ca 7 arecollinear when cba,, are non-coplanar kjia542 , kjib and kjc2.
2 Find unit vector in the opposite direc-tion of cba . kjia32 and kjib223 then show that ba and ba are perpendicularto each that 00000cot36sin9cos9sin9cos9 . the period of the function defined by 2( )tan( )f xxx xnx . 3sinh x t hen show t hat log (310)ex .SECTION - B5 x 4 = 20 Answer Questions.(i)Answer any Five questions.(ii)Each Question carries Four that 11()()()1bc bcca caabbccaabab . A B C D E F be regular hexagon with centre O , show thatAOADAFAEADACAB63 . kjia32 , kjib 2and kjic23 find )( A is not an integral multiple of 2S, prove that(i) 2 Acosec2 AcotAtan (ii) 2 Acot2 AtanAcot : 01sin3cos22 that a ABC' prove that.
3 2cot2tanAcbcbCB SECTION - C5 x 7 = 35 Answer Questions.(i)Answer any Five questions.(ii)Each Question carries Seven BAfo:, CBgo: be bijections. Then prove that 111)( using mathematical induction show that Nn , . 122410321 Athen find 1()A the following equations by Gauss - Jordan method18543 zyx, 1382 zyxand 20725 A = (1, 2, 1), B = (4, 0, 3), C = ( 1, 2, 1) and D = (2, 4, 5), find the distance betweenAB and A, B, C are angles of a triangle, then prove that222sinsinsin1 2 22 ABCA BC a ABC', if a = 13, b = 14, c = 15, find R, r, r1, r2 and
