BCECE [L.E] 2K22 Past Paper PDF

Previous Ycar Paper- 2022 405 Section-I R/2...

Previous Ycar Paper- 2022 405 Section-I R/2 asinr MATHEMATICS The value 6. of|rdr d8 dz is 0-0 r=0 z=0 1. Which of the following series converge? (a) I (2n +1)! (6) I. a,= IL. b,= (n+4)! (d) Zero In(n) n IV. d,= (n+1)! 7. then Äx(Bx) IEÄ=i-ji-i-3j+k,=4j-3k, (a) II and I (b) III and IV is equal to (c) IV only (d) I, II and III () 1Si+1lj+ (b) 8i -8j+k IL 2. The unit vectors orthogonal to the vector -i+2+2k and (e) 23i+3j+4k () 31i-5j+sk IV making equal angles with the X and Y axes are 8. IfA is non-singular matrix and (A-21) (A -4) = 0 [| is identiy matrk, o hencqual _C (a) 21 (b) 6I IN (c) 0 (d) I If , 9. The value of k, for which the following system of are three non-coplanar vectors such that +z = 0 and 3. b, linear equations x + 2y 3z = 0, 2x + y + CH (a+b+8+d) is X-y+kz=0 has a non-trivial solution, is +b+=ad and b++å=B, then (a) 2 (b) 3 equal to (d) 1 () 4 (a+ B)& SA (a) cos a sin a 10. Given q= and A= then B=A+A+ (c) cã () 0 -sin a cos a @ A'+A is 6r(5/3) 4. The valve of is (T is gamma function) (a) Non-Singular and symmetric sr(2/3) (b) Singular and non-symmetric 6 (c) Singular and symmetric (a)7 Non-singular and non-symmetric () 5 (c) 3 () ; [2 0 71 1 0 is inverse 11. The value ofx, for which matrix =0 A is (B is beta function) 5. The value of B.2 2 -x 14x 2Tr of, B=0 1 0 x 4x -2x| 4 Sr (c) 32  406 LEET-Question Bank + 22x – 16y- 14z 8y + 5z'- 4xy- -8zx 4yz (c) Sx? + 1 10 =0 (a)7 + – 22x+ 16y+ 14z + (d) 5x?+8y+ Sz?-4xy+4yz 8zx 10 =0 1 volume of parallelopiped formed 16. The value of 'a'so that the minimum is by i+aj+k, j+ ak and ai +k becomes 12. For the matrix A -| exp (A) or e is given by 0 2 (a) (b) 3 (c) -3 (a) 3 on the joint of 17. Find the equation of the sphere described IL vectors 2i+6j-7k and the point A and B having position rspectively, as a diameter IV -2i+4j-3k - X. -I