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Binomial Theorem question

2023 · 29 Jan · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 29 Jan · Shift 2 · Q35

Binomial Theorem question

2023 · 29 Jan · Shift 2 · Q35

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

Let K be the sum of the coefficients of the odd powers of

x

in the expansion of

(1+x)^{99}

. Let

a

be the middle term in the expansion of

{\left( {2 + {1 \over {\sqrt 2 }}} \right)^{200}}

. If

{{{}^{200}{C_{99}}K} \over a} = {{{2^l}m} \over n}

, where m and n are odd numbers, then the ordered pair

(l,\mathrm{n})

is equal to

A
(50, 101)
B
(50, 51)
C
(51, 101)
D
(51, 99)

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