SSC CHSL 2022 PYQ — Question 66

The correct answer is Option 1 i.e. 2/3

Given:

(x³ + y³)^2/3 = (x² + y²)

According to the given question, (x³ + y³)^2/3 = (x² + y²)

Now, taking cubes on both sides, we get

⇒ (x³ + y³)² = (x² + y²)³

⇒ x⁶ + 2x³y³ + y⁶ = x⁶ + 3x⁴y² + 3x²y⁴ + y⁶

⇒ 2x³y³ = 3x²y²(x² + y²)

⇒ 2xy = 3(x² + y²)

⇒ ${(x^2 + y^2) \over xy} = {2 \over 3}$

Hence, the required answer is 2/3.