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Number of solutions of the equation `4(cos^(2) 2x+ cos 2 x +1)+tan x (tan x-2sqrt(3))=0` in `[0, 2pi]` is |
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Answer» Correct Answer - C `(4 cos^(2) 2x+4 cos 2x+1) + (tan^(2) x-2 sqrt(3) tan x+3)=0` `rArr (2 cos 2x+1)^(2) + (tan x-sqrt(3))^(2)=0` `rArr cos 2x = -1/2 and tan x = sqrt(3)` `rArr 2 cos^(2) x-1=-1/2 and tan x=sqrt(3)` `rArr cos x = pm 1/2 and tan x = sqrt(3)` `rArr x=pi/3, (4pi)/3` `:.` Number of solution of equation `=2` |
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