8/20/2019 2nd PU Maths Jan 2015.pdf http://slidepdf.com/reader/full/2nd-pu-maths-jan-2015pdf 1/4 \J/ :I S*&&- +:= *.= -PUCPA .: District Level Preparatory Examination, January 2015 il P.U.C rrebnpMATrCS (351 Time : 3 hours 15 minute Max. Marks : lOO Instructions : (i) The question paper has fiue parts mamely A, B, C, D and. E. Ansuter all the. parts. (i0 Use the graph sheet for the Etestion on Linear programming in pART E. IS iNg PART - A Answer ALL the questions = 30 wsr .rrr' L't tlu 1o x 1=1o 1' Let " be the binary operation on N given by a*b=L.C.M of a and b, find 2. Which interval of f(x) : sin-1x is called principal value branch? ho w -_-- -- -\--l l,rurwrpor. v4ruE ulal * 3. construct a 3x3 matrix A = (ai;)whose elements are given uv *,:= ; & 4. rrA = (: il*o trot. 5. Differentiate 1og (cos e") w r t to x . 6. Evaluate :- tar*2x.dx 7. Find the angle between the two vectors d and d such that ld | =1 , lBl - 1 and d.i=r 8' Find the equation of the plane with the intercept 2,3 and.4 on x, y and z axesrespectively. 9. Define Linear objective function, in linear programming problem 10. A fair die is rofled . consider the events E={1,3,5} and F={2,3} , find P(E lF) p PART B Answer any TEN questions: lO x2=2O i 1. Find the gof and fog if /(x) = Bx3 and g(x) = 5i 12. If sin (sin-r ] + cos-1 x) = , thepr find the value of x 13. write the function tan-1 (ry=) x* 0, in the simplest form. For More Question Papers Visit - www.pediawikiblog.com For More Question Papers Visit - www.pediawikiblog.com