If `(x^(2))/(x)=1`,then the value of `x` is
(a) 1
(b) -1
(c) 0
(d) 2

If tan^(-1) ((x+1)/(x-1))+tan^(-1)((x-1)/x)=tan^(-1)(-7) , then the value of x is (a) 0 (b) -2 (c) 1 (d) 2

If x-a is a factor of x^3-3x^2a+2a^2x+b , then the value of b is (a) 0 (b) 2 (c) 1 (d) 3

If x lies in the interval [0,\ 1] , then the least value of x^2+x+1 is (a) 3 (b) 3//4 (c) 1 (d) none of these

Let x ,\ y be two variables and x >0,\ \ x y=1 , then minimum value of x+y is (a) 1 (b) 2 (c) 2 1/2 (d) 3 1/3

Let f(x)=x+2|x+1|+2|x-1|dot If f(x)=k has exactly one real solution, then the value of k is (a) 3 (b) 0 (c) 1 (d) 2

If 1/(1+2x+x^2)= 1+a_1x+a_2x^2+….. then the value of a_r is (A) 2 (B) r+1 (C) r (D) 2r

Let f(x)=x+2|x+1|+x-1|dotIff(x)=k has exactly one real solution, then the value of k is 3 (b) 0 (c) 1 (d) 2

Let f(x) be a polynomial such that f(-1/2)=0, then a factor of f(x) is:? (a) 2x-1 (b) 2x+1 (c) x-1 (d) x+1

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

5.The value of (i^(4x+1)-i^(4x-1))/(2) is equal to (a) 1 (b) -1 (c) -i (d) 0