Assertion -General solution of equation tan 3x-tan 2x-1-tan 3xtan 2x-1 is x-n- -4 Reason- tan x is not defined at odd multiple of -2

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Standard XII

Mathematics

Theorems for Differentiability

Assertion :Ge...

Question

Assertion :General solution of equation $\frac{tan 3 x - tan 2 x}{1 + tan 3 x tan 2 x} = 1 i s x = n π + \frac{π}{4}$ Reason: $tan x$ is not defined at odd multiple of $\frac{π}{2}$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Reason is true (theory)
Assertion:
$\frac{tan (3 x) - tan 2 x}{1 + tan 3 x tan 2 x} = 1 \Rightarrow tan (3 x - 2 x) = 1 \Rightarrow tan x = 1$
$\Rightarrow x = n π + \frac{π}{4}$

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

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Assertion :General solution of equation tan3x−tan2x1+tan3xtan2x=1isx=nπ+π4 Reason: tanx is not defined at odd multiple of π2

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionReason is true (theory)Assertion:tan(3x)−tan2x1+tan3xtan2x=1⇒tan(3x−2x)=1⇒tanx=1⇒x=nπ+π4

Assertion :General solution of equation $\frac{tan 3 x - tan 2 x}{1 + tan 3 x tan 2 x} = 1 i s x = n π + \frac{π}{4}$ Reason: $tan x$ is not defined at odd multiple of $\frac{π}{2}$

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Reason is true (theory)
Assertion:
$\frac{tan (3 x) - tan 2 x}{1 + tan 3 x tan 2 x} = 1 \Rightarrow tan (3 x - 2 x) = 1 \Rightarrow tan x = 1$
$\Rightarrow x = n π + \frac{π}{4}$