if `(5/7)^(x-1)=(7/5)^(x-5)` then x is equal to ``
(a) 3` `
(b) 0` `
(c) -1` `
(d) 2``

If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b) 4/3 (c) 13 (d) (13)/7

If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b) 4/3 (c) 13 (d) (13)/7

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 cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) 1/sqrt(5) B) (-2/sqrt(5)) C) (2/sqrt(5)) D) 1

If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3+3x-14 is equal to 1 (b) 0 (c) 2 (d) 4

(2/3)^(-5)x\ (5/7)^(-5) is equal to (a) (2/3x5/7)^(-10) (b) (2/3x5/7)^(-5) (c) (2/3x5/7)^(25) (d) (2/3x5/7)^(-25)

If alpha,\ beta are the zeros of the polynomial p(x)=4x^2+3x+7 , then 1/alpha+1/beta is equal to (a) 7/3 (b) -7/3 (c) 3/7 (d) -3/7

For x in R , lim_(xrarroo)((x-3)/(x+2))^x is equal to (a) e (b) e^(-1) (c) e^(-5) (d) e^5

If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a. 1/sqrt(5) b. 2/sqrt(5) c. 3/sqrt(5) d. sqrt(5)/3

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