Let x + (1)/(x)=1 and a, b and c are dis...

Let `x + (1)/(x)=1` and a, b and c are distinct positive integers such that `(x^(a) + (1)/(x^(a)))+ (x^(b) + (1)/(x^(b))) + (x^(c ) + (1)/(x^(c )))=0`. Then the minimum vlaue of `(a+b+c)` is

A

7

B

8

C

9

D

10

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If f(x)= (x+1)/(x-1) then the value of f(f(x)) is equal to a)x b)0 c)-x d)1

Let A (6,- 1) B (1,3) and C(x,8) be three points such that AB = BC. The values of x are

lim_(x rarr 0) (sqrt(1 + 2x) - 1)/(x) = a)0 b)-1 c) (1)/(2) d)1

Let a and b be two positive real numbers. Then the value of int_(a)^(b)(e^(x//a)-e^(b//x))/(x)dx is a)0 b)ab c)1/ab d)e^ab

inttan(sin^(-1)x)dx is equal to a) (1)/(sqrt(1-x^(2)))+c b) sqrt(1-x^(2))+c c) (-x)/(sqrt(1-x^(2)))+c d) -sqrt(1-x^(2))+c

The term independent of x in the expansion of (x+(1)/(x^(2)))^(6) is a)20 b)15 c)6 d)1