Let the coefficients of the middle terms in the expansion of (1/(√(6))+β x)⁴,(1-3 β x)² and (1-(β)/2 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-(2 d)/(β²) is equal to _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Evening shift · Q24

JEE Main 202228 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

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>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 __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Binomial Theorem and Its Simple Applications Question with Answer (28 Jul Evening shift, Q24) | JEE Arc