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Consider the following statements State...

Consider the following statements Statement 1: The range of `log_(1)(1/(1+x^(2)))` is `(-oo,oo)` Statement 2: If `0ltxle1`, then range of `logx epsilon(-oo,0]` Which of the following is correct

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

Text Solution

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The correct Answer is:
D
Range of `1/(1+x^(2))` is `(0,1]` is domain `R`.
`:. log(1/(1+x^(2)))epsilon(-oo,0]`
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