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Mathematical Induction and Binomial Theorem question

2023 · Shift 1 · Q30

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JEE Advanced
Mathematics
Mathematical Induction and Binomial Theorem
2023 · Shift 1 · Q30

Mathematical Induction and Binomial Theorem question

2023 · Shift 1 · Q30

JEE AdvancedMathematicsMathematical Induction and Binomial TheoremNumerical+4 / −1

Let

a

and

b

be two nonzero real numbers. If the coefficient of

x^5

in the expansion of

\left(a x^2+\frac{70}{27 b x}\right)^4

is equal to the coefficient of

x^{-5}

in the expansion of

\left(a x-\frac{1}{b x^2}\right)^7

, then the value of

2 b

is :

Numerical answer

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