Statement 1 The equation `a^(x)+b^(x)+c^(x)-d^(x)=0` has only real root, if `agtbgtcgtd`.
Statement 2 If `f(x)` is either strictly increasing or decreasing function, then `f(x)=0` has only real root.

Options

A. Statement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement-1
B. Statement -1 is true, Statement -2 is true, Statement -2 is not a correct explanation for Statement -1
C. Statement -1 is true, Statement -2 is false
D. Statement -1 is false, Statement -2 is true

Explanation

`:'a^(x)+b^(x)+c^(x)-d^(x)=0`
`impliesa^(x)+b^(x)+c^(x)=d^(x)`
Let `f(x)=(a/d)^(x)+(b/d)^(x)+(c/d)^(x)-1`
`:'f(x)=(a/d)^(x)In(a/d)+(b/d)^(x)In(b/d)^(x)+(c/d)^(x)In(c/d)gt0`
and `f(0)=2`
`:.f(x)` is increasing function and `lim_(xto-oo)f(x)=-1`
`impliesf(x)` has only one real root.
But Statement 2 is false.