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Binomial Theorem question

2024 · 27 Jan · Shift 1 · Q49

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2024 · 27 Jan · Shift 1 · Q49

Binomial Theorem question

2024 · 27 Jan · Shift 1 · Q49

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If A denotes the sum of all the coefficients in the expansion of

\left(1-3 x+10 x^2\right)^{\mathrm{n}}

and B denotes the sum of all the coefficients in the expansion of

\left(1+x^2\right)^n

, then :

A
$\mathrm{B}=\mathrm{A}^3$
B
$3 \mathrm{A}=\mathrm{B}$
C
$A=3 B$
D
$\mathrm{A}=\mathrm{B}^3$

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