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Q.

Statement – 1 :  tan3xtan2x1+tan3xtan2x=1,x=nπ+π4,nI
Statement – 2 : tan x is not defined at x=nπ+π2,nI 
 

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a

Statement-1 is True, Statement-2 is False

b

Statement-1 is False, Statement-2 is True

c

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

d

Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1

answer is D.

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Detailed Solution

detailed_solution_thumbnail

tan3xtan2x1+tan3xtan2xtan3x2x=1

Or tan x = 1 Or x=nπ+π4,nI

But at this value, tan 2x is undefined, hence there is no solution and tanx=sinxcosx

tanx is not defined when cos x = 0 Or x=nπ+π2,nI 

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