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Q.

The solution set of  tan2θ(1+3)tanθ+3=0 is

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a

{nπ+π3:nZ}{nπ+π4:nZ}

b

{nπ+π4:nZ}{nπ+π6:nZ}

c

{nπ+π6:nZ}

d

{nπ+5π24:nZ}

answer is A.

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Detailed Solution

tan2θtanθ3tanθ+3=0

tanθ(tanθ1)3(tanθ1)=0

(tanθ1)(tanθ3)=0

tanθ=1,tanθ=3

θ={nπ+π4,nZ}{nπ+π3,nZ}

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The solution set of  tan2θ−(1+3)tanθ+3=0 is