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UPSC NDA II 2025 Mathematics Paper

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Question Numbers: 29-30

For the following two (02) items:

Let

\cos(2x+3y) = \;\frac{1}{2}

and

\cos(3x+2y) = \;\frac{\sqrt{3}}{2}

where

-\pi < (2x+3y) < \pi

and

-\pi < (3x+2y) < \pi .

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Question : 30 of 120

Marks: +1, -0

How many values does (y-x) have?

Two
Three
Four
More than four

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