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Binomial Theorem question

2025 · 4 Apr · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2025 · 4 Apr · Shift 1 · Q39

Binomial Theorem question

2025 · 4 Apr · Shift 1 · Q39

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

For an integer

n \geq 2

, if the arithmetic mean of all coefficients in the binomial expansion of

(x+y)^{2 n-3}

is 16 , then the distance of the point

\mathrm{P}\left(2 n-1, n^2-4 n\right)

from the line

x+y=8

is

A
$\sqrt{2}$
B
$2 \sqrt{2}$
C
$5 \sqrt{2}$
D
$3 \sqrt{2}$

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