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Binomial Theorem question

2023 · 30 Jan · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 30 Jan · Shift 1 · Q27

Binomial Theorem question

2023 · 30 Jan · Shift 1 · Q27

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If the coefficient of

x^{15}

in the expansion of

\left(\mathrm{a} x^{3}+\frac{1}{\mathrm{~b} x^{1 / 3}}\right)^{15}

is equal to the coefficient of

x^{-15}

in the expansion of

\left(a x^{1 / 3}-\frac{1}{b x^{3}}\right)^{15}

, where

a

and

b

are positive real numbers, then for each such ordered pair

(\mathrm{a}, \mathrm{b})

:

A
a = 3b
B
ab = 1
C
ab = 3
D
a = b

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