Let \alpha, \beta, \gamma and \delta be the coefficients of x^7, x^5, x^3 and x respectively in the expansion of (x+\sqrt{x^3-1}) ^5+ (x-\sqrt{x^3-1}) ^5, x>1. If u and v satisfy the equations \alpha u+\beta v=18, \gamma u+\delta v=20, then u+v equals: [22 Jan 2025 Shift 2]

JEE Main 22 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 4 of 75

Marks: +1, -0

Let α,β,γ and δ be the coefficients of x7,x5,x3 and x respectively in the expansion of (x+√x3−1)5+(x−√x3−1)5,x>1. If u and v satisfy the equations
‌αu+βv=18,
‌γu+δv=20,
then u+v equals:

[22 Jan 2025 Shift 2]

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