B.Tech (4 years)/B.Tech & M.Tech- Dual Degree/B.Tech & MBA- Dual Degree

MATHEMATICS

81.

The number of all 1-1 functions from the set X = {1, 2,3} to itself is (A) 3

82.

83.

84.

(B) 6

(C) 8

(D) 9

The function f : ¥
¥ defined by f(x) = 2x is (A) injective but not onto

(B) onto but not injective

(C) neither injective nor onto

(D) both injective and onto

If iz3 z2 z i 0 , then |z| equals (A) 1

(B) 2

(C ) 3

(D) 4

If

z1

and

z 2 are

two

nonzero

complex

numbers

such

that

z1 + z2 = z1 + z2 , then arg z1 – arg z2 equals

85.

(A) –π

(B) π

(C) 0

(D) π

The cofactor of a12

2

2

0 3 0    in the matrix 6 0 4  is 1 0 7 

(A) 0

(B) 46

(C) -71

(D) 61

22 SPACE FOR ROUGH WORK