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Q.

The equation 3tan4x10tan2x+3=0  has the solution set as

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a

{nπ±π3}{nπ},nz

b

{nπ±π4}{nπ},nz

c

{nπ±π3}{nπ±π6},nz

d

{nπ±π6}{nπ±π4},nz

answer is C.

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Detailed Solution

3tan4x10tan2x+3=0

(3tan2x1)(tan2x3)=0

tan2x=13,tan2x=3

x=nπ±π6,x=nπ±π3

{nπ±π3}{nπ±π6},nz

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