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Binomial Theorem question

2025 · 22 Jan · Shift 2 · Q30

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2025 · 22 Jan · Shift 2 · Q30

Binomial Theorem question

2025 · 22 Jan · Shift 2 · Q30

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

Let

\alpha, \beta, \gamma

and

\delta

be the coefficients of

x^7, x^5, x^3

and

x

respectively in the expansion of

\begin{aligned} & \left(x+\sqrt{x^3-1}\right)^5+\left(x-\sqrt{x^3-1}\right)^5, x\gt 1 \text {. If } u \text { and } v \text { satisfy the equations } \\\\ & \alpha u+\beta v=18, \\\\ & \gamma u+\delta v=20, \end{aligned}

then

\mathrm{u+v}

equals :

A
4
B
3
C
5
D
8

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