Question

Assertion :General solution of equation
$\frac{ta3x-tan2x}{1+tan3xtan2x}=1$is $x=n\pi +\frac{\pi }{4}$ Reason: tanx is not defined at odd multiple of $\frac{\pi }{2}$
Answer Required

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

Reason is true (theory)
Assertion:
$\frac{\tan \left(3x\right)-\tan 2x}{1+\tan 3x\tan 2x}=1\Rightarrow \tan (3x-2x)=1\Rightarrow \tan x=1$
$\Rightarrow x=n\pi +\frac{\pi }{4}$