Let the coefficients of the middle terms in the expansion of (\frac{1}\sqrt{6}+\beta x)^4,(1-3 \beta x)^2 and (1-\frac{\beta}{2} x)^6, \beta>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 _________. [28-Jul-2022-Shift-2]

JEE Mains 28-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

Let the coefficients of the middle terms in the expansion of (‌

√6

+βx)4,(1−3βx)2 and (1−‌

x)6,β>0, respectively form the first three terms of an A.P. If d is the common difference of this A.P. , then 50−‌

β2

is equal to _________.

[28-Jul-2022-Shift-2]

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