`i^4`
(1) `0` (2) `-1` (3) `1` (4) `2`

(v) (1-i) ^ (2) (1 + i) - (3-4i) ^ (2)

Rank of the matrix [[3,0,2], [-1,1,0],[5,2,3]] is (1) 1 (2) 2 (3) 3 (4) 4

Find the value of. (i) (3^@+4^(-1)) xx 2^2 (ii) (2^(-1)xx 4^(-1))-: 2^(-1) (iii) (1/2)^-2 + (1/3)^-2 + (1/4)^-2 (iv) (3^-1 + 4^-1+ 5^(-1))^0 (v) {((-2)/3)^-2}^2

If | (1,4), (1., 3) |+| (1/2,4), (1/3,3) |+| (1/4,4), (1/9,3) |+.... oo = (i) 1 (ii) -1 (iii) 0 (iv) infty

Find the mode of 1, 0, 2, 1, 0, 2, 3, 1, 3, 1, 0, 4, 2, 4, 1 and 2.

A point on line x-y+1=0 at a distance 2sqrt(2) from the point (1,2) is (i)(3,4) (ii) (3,0) (iii) (-1,4)(iv)(0,1)

If A_(0) = [[2 ,-2,-4],[-1,3,4],[1,-2,-3]] and B_(0) [[-4,-4,-4],[1,0,1],[4,4,3]] and B_(n) = adj (B_(n-1)),n inN and I is an dientity matrix of order 3. det (A_(0) + A_(0)^(2) B_(0) ^(2) + A_(0)^(2) + A_(0) ^(4) B_(0)^(4) + ... upto 12 terms ) is equal to

Find the distance between the points (i) (9,-12,-8) and (0,0,0) (ii) (-3,7,2) and (2,4,-1) (iii) (-1,3,-4) and (1,-3,4) (iv) (2,-1,3) and (-2,1,3)

"If A" = [{:(1, 2), (1, 3):}] , then find A^(-1) + A . (a) I (b) 2I (c) 3I (d) 4I