If `(x+1/x)=2` , then `(x-1/x)` is equal to (a) 0 (b) 1 (c) 2 (d) 5

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to (a) 0 (b) 2pi (c) pi (d) none of these

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to (a) 0 (b) 2pi (c) pi (d) none of these

Let f(x)=|cosx x 1 2sinx x2xsinx x x| , then (lim)_(x->0)(f(x))/(x^2) is equal to (a) 0 (b) -1 (c) 2 (d) 3

If (x^(2)+(1)/(x^(2)))=34, then (x+(1)/(x)) is equal to (a)3(b)4(c)5(d) None of these is equal

If x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2)) , where x in (0,1), then x_1+x_2 is equal to 0 (b) 2pi (c) pi (d) none of these

If x_(1)=2tan^(-1)((1+x)/(1-x)),x_(2)=sin^(-1)((1-x^(2))/(1+x^(2))) where x in(0,1), then x_(1)+x_(2) is equal to 0 (b) 2 pi(c)pi pi(d) none of these

If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal to (a)0 (b) 1/(14) (c) -1/4 (d) None of these

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

If "x=sqrt(5)+2",then "x-(1)/(x)" equals: (a) "4," (b) "3," (c) "2," (d) "1"

if f(x)=3|x|+|x-2| then f'(1) is equal to a)2 b)1 c)3 d)0