Let \alpha, \beta(\alpha > \beta) be the roots of the quadratic equation x^2-x-4=0. If P_n=\alpha^n-\beta^n, n \in {\N}, then {P_{15} P_{16}-P_{14} P_{16}-P_{15}^2+P_{14} P_{15}}/{P_{13} P_{14}} is equal to [29-Jul-2022-Shift-2]

JEE Mains 29-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 22 of 90

Marks: +1, -0

Let α,β(α>β) be the roots of the quadratic equation x2−x−4=0. If Pn=αn−βn,n∈N, then ‌

P15P16−P14P16−P152+P14P15

P13P14

is equal to

[29-Jul-2022-Shift-2]

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