Mathematics · 2021
JEE Main · 18 March 2021, Shift 1 · Q69
If α, β are natural numbers such that 100^α-199 β=(100)(100)+(99)(101)+(98)(102)+ …..+(1)(199), then the slope of the line passing through (α, β) and…
If $\displaystyle \alpha, \beta$ are natural numbers such that $\displaystyle 100^\alpha-199 \beta=(100)(100)+(99)(101)+(98)(102)+$ $\displaystyle \ldots . .+(1)(199)$, then the slope of the line passing through $\displaystyle (\alpha, \beta)$ and origin is :
Official answer
(4)
$\displaystyle 550$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.