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Binomial Theorem question

2022 · 28 Jul · Shift 2 · Q35

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JEE Main
Mathematics
Binomial Theorem
2022 · 28 Jul · Shift 2 · Q35

Binomial Theorem question

2022 · 28 Jul · Shift 2 · Q35

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

Let the coefficients of the middle terms in the expansion of

\left(\frac{1}{\sqrt{6}}+\beta x\right)^{4},(1-3 \beta x)^{2}

and

\left(1-\frac{\beta}{2} x\right)^{6}, \beta\gt 0

, respectively form the first three terms of an A.P. If d is the common difference of this A.P. , then

50-\frac{2 d}{\beta^{2}}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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