Let a and b be two nonzero real numbers. If the coefficient of x^5 in the expansion of (ax^2 + 70/27bx )^4 is equal to the coefficient of x^-5 in the expansion of (ax - 1/(bx^2) )^7, then the value of 2b is

Let a and b be two nonzero real numbers. If the coefficient… — JEE Advanced 2023 Mathematics PYQ

JEE Advanced 2023 · Paper 1 · numerical answer

Let

a

and

b

be two nonzero real numbers. If the coefficient of

x^5

in the expansion of

\left(ax^2 + \dfrac{70}{27bx}\right)^4

is equal to the coefficient of

x^{-5}

in the expansion of

\left(ax - \dfrac{1}{bx^2}\right)^7

, then the value of

2b

Show answer

Answer: 3

[JEE Advanced 2023 · Paper 1]

Practise Binomial Theorem the way it is asked

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