Consider the following statements Assertion ( A) : When x, y, z are positive numbers, then \tan ^{-1} (\sqrt{\frac{x(x+y+z)}{y z}}) +\tan ^{-1} (\sqrt{\frac{y(x+y+z)}{x z}}) +\tan ^{-1} (\sqrt{\frac{z(x+y+z)}{x y}}) =\pi Reason (R) : \tan ^{-1} a+\tan ^{-1} b=\tan ^{-1} (\frac{a+b}{1-a b}), if a>0 and b>0 The correct answer is

Correct Answer is : (A) is true, but (R) is false.

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 : 26 of 160

Marks: +1, -0

Consider the following statements
Assertion ( A) : When x,y,z are positive numbers, then
tan−1(√‌

x(x+y+z)

)+tan−1(√‌

y(x+y+z)

)+tan−1(√‌

z(x+y+z)

)=π
Reason (R) : tan−1a+tan−1b=tan−1(‌

a+b

1−ab

), if a>0 and b>0
The correct answer is

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