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Statement-1 : The function f defined as ...

Statement-1 : The function f defined as `f(x) = a^(x)` satisfies the inequality `f(x_(1)) lt f(x_(2))` for `x_(1) gt x_(2)` when `0 lt a lt 1`.
and
Statement-2 : The function f defined as f(x) `= a^(x)` satisfies the inequality `f(x_(1)) lt f(x_(2))` for `x_(1) lt x_(2)` when `a gt 1`.

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 False, Statement -2 is False

D

Statement -1 is False, Statement -2 is True

Text Solution

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The correct Answer is:
B
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