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  4. If 21s t and 22 text nd terms in the expansion of (1+x)44 are equal, then x is equal to

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Q. If $21^{s t}$ and $22^{\text {nd }}$ terms in the expansion of $(1+x)^{44}$ are equal, then $x$ is equal to

Solution:

By data, $44 C_{20} x^{20}=44 C_{21} x^{21} $
$\Rightarrow x=\frac{44 C_{20}}{44 C_{21}}$
$ \Rightarrow x=\frac{7}{8}$