If \( \alpha, \beta \) are natural numbers such that \[ \begin{arra...

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If \( \alpha, \beta \) are natural numbers such that
\[
\begin{array}{r}
100^{\alpha}-199 \beta=(100)(100)+(99)(101) \\
+(98)(102)+\ldots \ldots+(1)(199)
\end{array}
\]
\( \mathrm{P} \)
W)
then the slope of the line passing through \( (\alpha, \beta) \) and origin is :
[JEE Main-2021 (March)]
(a) 540
(b) 550
(c) 530
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