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

To solve the problem, we will analyze the statements given and prove their validity step by step.

### Step 1: Define the function
We start by defining the function based on the equation provided in Statement 1:
\[ f(x) = a^x + b^x + c^x - d^x \]
where \( a, b, c, d \) are constants such that \( a > b > c > d \).
...