SSC CPO 2024 PYQ — Question 136

The correct answer is Option 1 i.e. y + 2x = x² y.

Given that

x = SinA + CosA

Squaring both sides we get

x² = sin²A + cos²A + 2sinAcosA

Formula used

sin²A + cos²A = 1

x² = 1 + 2sinAcosA

Now, x²y = ( 1 + 2sinAcosA )( secA + cosecA )

Multiplying be we

secA + cosecA + 2sinA + 2cosA 

⇒ secA + cosecA + 2( sinA + cosA )

⇒ y + 2x

Hence, y + 2x = x²y.