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Q.

x=nπ-tan-13 is a solution of the equation 12tan2x+10cosx+1=0 for

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a

no value of  n

b

all integral values of  n

c

even integral values of  n

d

odd integral values of  n

answer is D.

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Detailed Solution

Given that x=nπ-tan-13 If tanx=-3 and cosx=±110tanx=-3,cosx=-110 satisfy the given equation 12tan2x+10cosx+1=0 x  lies in second quadrant ⇒ n  must be an odd integer
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