JEE Advanced 2026 Mathematics question
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 the equation , then the quadratic equation with roots and is (Q) If α and β are the distinct roots of the equation , then the quadratic equation with roots and is (R) If γ and δ are the distinct roots of the equation , then the value of is (S) If p and r are the distinct roots of the equation , then the value of is List-II (1) (2) (3) (4) −1 (5) −4
Answer: (C)
Solution
α, β = ω, ω² with α + 1 = −α². (P) (4052 ≡ 2 mod 3), so the root is ; similarly β. Equation → (1). (Q) , so the roots are and : sum 1, product 1:
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