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If f(x) = sqrt(x+2sqrt(x+1)) + sqrt(x-2s...

If `f(x) = sqrt(x+2sqrt(x+1)) + sqrt(x-2sqrt(x-1)), x ge 1`.
Statement-1 : Then, `f(x) = 2`, when `x in [1, 2]`
and
Statement-2 : `sqrt((f(x))^(2)) = {{:(f(x)",", f(x) ge 0),(-f(x)",", f(x) lt 0):}`

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

Verified by Experts

The correct Answer is:
A
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