For how many values of {\x} does \frac{1}{ {\p}} become zero? [NDA II 2023]

Correct Answer is : Only two values

UPSC NDA II 2023 Mathematics Solved Paper

Consider the following for the next two (02) items that follow :
Let p=‌

−‌

tan‌3‌x

tan‌x

and
q=1−3tan2x,0<x<π,x≠‌

[NDA II 2023]

Question : 76 of 120

Marks: +1, -0

For how many values of x does ‌

become zero?

[NDA II 2023]

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