SSC CPO 2023 PYQ — Question 144

The correct answer is option 2 i.e. 0.

Given that

⇒ If x⁴ + y⁴ = x²y²

⇒ (x² + y²)² - 2x²y² = x²y²

⇒ (x² + y²)² = 3x²y²

⇒ x² + y² = √ 3 xy .....(1

Cube both sides

⇒ (x² + y² )³ = (√ 3 xy)³

⇒ x⁶ + y⁶ + 3x²y² (x² + y² ) = 3√ 3 x³y³

Put the value of x² + y² from equation 1

⇒ x⁶ + y⁶ +  3x²y² (√ 3 xy ) = 3√ 3 x³y³

⇒ x⁶ + y⁶ + 3√ 3 x³y³ = 3√ 3 x³y³

⇒ x⁶ + y⁶  = 0