JEE Advanced 2026 Paper 1 Mathematics Q13

Mathematics

Problem

Match each entry in List-I to the correct entry in List-II and choose the correct option. List-I: (P) If α and β are the distinct roots of x² + x + 1 = 0, then the quadratic equation with roots 1/(α + 1)²⁰²⁶ and 1/(β + 1)²⁰²⁶ is; (Q) If α and β are the distinct roots of x² + x + 1 = 0, then the quadratic equation with roots 1/(α + 1)²⁰²⁷ and 1/(β + 1)²⁰²⁷ is; (R) If γ and δ are the distinct roots of x² − x + 1 = 0, then the value of 1/(γ − 1)²⁰²⁶ + 1/(δ − 1)²⁰²⁶ is; (S) If p and r are the distinct roots of x² + x − 1 = 0, then the value of 1/(p + 1)³ + 1/(r + 1)³ is. List-II: (1) x² + x + 1 = 0; (2) x² − x + 1 = 0; (3) x² + x − 1 = 0; (4) −1; (5) −4.

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