If `A^2=1,` then the value of det`(A-I)` is (where `A` has order 3) `1` b. `-1` c. `0` d. cannot say anything

If (21. 4)^a=(0. 00214)^b=100 , then the value of 1/a-1/b is 0 (b) 1 (c) 2 (d) 4

If in A B C ,A C is double of A B , then the value of cot(A/2)cot((B-C)/2) is equal to 1/3 (b) -1/3 (c) 3 (d) 1/2

The value of lim_(x->0)(sqrt(1/2(1-cos2x)))/x i s (a)1 (b) -1 (c) 0 (d) none of these

If z^3+(3+2i)z+(-1+i a)=0 has one real root, then the value of a lies in the interval (a in R) a. (-2,1) b. (-1,0) c. (0,1) d. (-2,3)

If A= [(3,4),(4,-3)] find x if det|A-xI| =0,where I is a unit matrix of order 2.

If A=[0 1 2 1 2 3 3a1]a n d A_1=[1//2 12//12//-4 3c5//2-3//2 1//2] , then the values of a anti c are equal to 1,1 b. 1,-1 c. 1,2 d. -1,1

The value of lim_(x->0)((sinx)^(1/x)+(1/x)^(sinx)) , where x >0, is 0 (b) -1 (c) 1 (d) 2

If sqrt(3)+i=(a+i b)(c+i d) , then find the value of tan^(-1)(b//a)+tan^(-1)(d//c)

If A is an invertible matrix of order 2, then det (A^(-1)) is equal to

(-A)^(-1) is always equal to (where A is nth-order square matrix) (-A)^(-1) b. -A^(-1) c. (-1)^nA^(-1) d. none of these