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UPSC NDA II 2023 Mathematics Solved Paper

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

1

3

−‌

tan‌3‌x

tan‌x

and
q=1−3tan2x,0<x<π,x≠‌

π

2

[NDA II 2023]

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Question : 75

Total: 120

What is pq equal to ?

1
2
‌
8
3
−‌
8
3

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