Which of the following equations is/are possible? I. \sin ^2 \theta=\frac{(x+y)^2}{4 x y}, where x, y are positive unequal real quantities. II. \sin \theta+\cos \theta= x +\frac{1}{ x }, where x is a positive real quantity. Select the correct answer using the code given below :

Correct Answer is : Neither I nor II

UPSC CDS I 2025 Mathematics Paper

Question : 29 of 100

Marks: +1, -0

Which of the following equations is/are possible?
I. sin‌2θ=‌

(x+y)2

4xy

, where x,y are positive unequal real quantities.
II. sin‌θ+cos‌θ=x+‌

, where x is a positive real quantity.
Select the correct answer using the code given below :

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