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

If A^2-A+I=0, then the inverse of A is a. A^(-2) b. A+I c. I-A d. A-I

The value of (sqrt(3)^(1/3)+(3^(5//6))i)^(3) is (where i=sqrt(-1) )

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

Value of i^n+i^(n+1)+i^(n+2)+i^(n+3) (where i=sqrt-1 )

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)

The number of diagonal matrix, A of order n which A^3=A is a. 1 b. 0 c. 2^n d. 3^n

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

Let A=a_0 be a matrix of order 3, where a_(i j)=x ; ifi=j ,x in R, 1 if|i-j|=1, 0;ot h e r w i s e then when of the following Hold (s) good: for x=2 , (a) A is a diagonal matrix (b) A is a symmetric matrix for x=2 , (c) det A has the value equal to 6 (d) Let f(x)= , det A , then the function f(x) has both the maxima and minima.

If x=1+i is a root of the equation x^3-i x+1-i=0, then the other real root is 0 b. 1 c. -1 d. none of these