Consider the following statements Assertion ( A) For x \in R-\{1\}; \frac{d}{d x} (\tan ^{-1} (\frac{1+x}{1-x}) ) =\frac{d}{d x} (\tan ^{-1} x) Reason ( R) For x< 1, \tan ^{-1} (\frac{1+x}{1-x}) =\frac{\pi}{4}+\tan ^{-1} x, for x>1, \tan ^{-1} (\frac{1+x}{1-x}) =-\frac{3 \pi}{4}+\tan ^{-1} x The correct answer is

Correct Answer is : Both (A) and (R) are true, (R) is the correct explanation of (A).

Both (A) and (R) are true, (R) is the correct explanation of (A).

Both (A) and (R) are true, (R) is not the correct explanation of (A).

TG EAMCET 2 May 2025 Shift 2 Paper

Question : 64 of 160

Marks: +1, -0

Consider the following statements Assertion ( A) For x∈R−{1};
‌

(tan−1(‌

1+x

1−x

))=‌

(tan−1x) Reason ( R) For x<1,tan−1(‌

1+x

1−x

)=‌

+tan−1x, for x>1,tan−1(‌

1+x

1−x

)=−‌

3π

+tan−1x The correct answer is

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