Let `f(x)=(1+x)/(1-x)` . If `A` is matrix for which `A^3=0`,then `f(A)` is (a) `I+A+A^2` (b) `I+2A+2A^2` (c) `I-A-A^2` (d) none of these

If for the matrix A ,\ A^3=I , then A^(-1)= (a) A^2 (b) A^3 (c) A (d) none of these

If 2f(x)-3f(1/x)=x^2(x!=0), then f(2) is equal to (a) -7/4("b")""5/2 (c) -1 (d) none of these

If x+i y=(1+i)(1+2i)(1+3i),\ t h e n\ x^2+y^2 is: (a) . 0 (b) . 1 (c) . 100 (d) . none of these

If intf(x)*cosxdx=1/2{f(x)}^2+c , then f(0)= (A) 1 (B) 0 (C) -1 (D) none of these

If f(x)=1/(1-x), then the set of points discontinuity of the function f(f(f(x)))i s {1} (b) {0,1} (c) {-1,1} (d) none of these

If f(x)=1/(1-x), then the set of points discontinuity of the function f(f(f(x)))i s {1} (b) {0,1} (c) {-1,1} (d) none of these

Let f(x)=max. {2-x,2,1+x} then int_(-1)^1 f(x)dx= (A) 0 (B) 2 (C) 9/2 (D) none of these

If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) {f(1)}^n (c) 0 (d) none of these

if f(x) ={{:(x+2 ,if xlt0),(-x^(2)-2 ,if 0le xlt1),( x ,if xge1):} then the number of points of discontinuity of |f(x)|is (a) 1 (b) 2 (c) 3 (d) none of these

If I=int_0^(3pi) f(cos^2x)dx and J=int_0^pi f(cos^2x)dx , then (A) I=5J (B) I=J (C) I=3J (D) none of these