Transcription of BOARD OF INTERMEDIATE EDUCATION A.P.: HYDERABAD …
1 BOARD OF INTERMEDIATE EDUCATION : HYDERABADMODEL QUESTION PAPER 2012-13 MATHEMATICS - IB(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 ) A n s w e r A l l Questions(ii) Each Question carries Two the value of x, if the slope of the line passing through (2, 5) and (x, 3) is the equation 01 yx into the normal that the points (1, 2, 3), (2, 3, 1) and (3, 1, 2) from an equilateral the angle between the planes 62 zyx and 72 that 0213xxLtxxo ..33xeex 2)(xxeaxf find ()fxc (where )1,0z! log[sin(log )]yx , find the approximate value of . the value of C in Rolle s theorem for the function 2()4fxx on [ 3, 3].SECTION - B5 x 4 = 20 Answer Questions.(i)Answer any Five questions.(ii)Each Question carries Four (2, 3) and B ( 3, 4) be two given points.
2 Find the equation of the Locus of P, so that the areaof the Triangle PAB is sq. the axes are rotated through an angle 6S find the transformed equation of222232ayxyx . the points on the line 0143 yx which are at a distance of 5 units from the point(3, 2). that z 0)(210coscos)(222xabxxbxaxxfififwhere a and b are real constants is continuous at 0 . the derivative of x2sin fro m the first particle is moving in a straight line so that after t seconds its distance s (in cms) from a fixedpoint o n the line is given by s = f (t) = 8t + t3. Find (i) the velocity at time t = 2 sec (ii) the init ialvelocity (iii) acceleration at t = 2 that the tangent at any point T on the curve Tseccx , Ttancy isTTcossincxy .SECTION - C5 x 7 = 35 Answer Questions.(i)Answer any Five questions.(ii)Each Question carries Seven the equation of straight lines passing through (1, 2) and making an angle of 060 with the line023 that the area of the triangle formed by the lines 0222 byhxyaxand 0 nmylxis 22222blhlmamabhn.
3 The value of k, if the lines joining the origin to the points of intersection of the curve01232222 yxyxyx and the line kyx 2 are mutually a ray with s l, m , n makes an angles D, E, J and G with four diagonals of a cube, thenshow that 34coscoscoscos2222 313tatx , 3213taty then find any point t on the curve )sin(ttax ; )cos1(tay find lengths of tangent and wire of length l is cut into two parts which are bent respectively in the form of a square anda circle. Find the lengths of the pieces of the wire, so that the sum of the areas is the
