Question

Assertion :(A) :$\frac{tan3x-tan2x}{1+tan3xtan2x}=1\Rightarrow x=n\pi +\frac{\pi }{4},n\in l$ Reason: (R) :$tanx$ is not defined at $x=n\pi +\frac{\pi }{2},n\in l$

• A. Both (A) and (R) are individually true and (R) is the correct explanation of (A)
• B. Both (A) and (R) are individually true but (R) is not the correct explanation of (A)
• C. (A) is true but (R) is false
• D. (A) is false but (R) is true

Answer 1

The correct option is D (A) is false but (R) is true

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

Therefore assertion is false.