If \alpha, \beta are natural numbers, such that 100^{\alpha}-199 \beta=(100)(100)+(99)(101)+ (98) (102)+. . .+(1)(199), then the slope of the line passing through (\alpha, \beta) and origin is [18 Mar 2021 Shift 1]

JEE Main 18 March 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 73 of 90

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If α,β are natural numbers, such that 100α−199β=(100)(100)+(99)(101)+ (98) (102)+...+(1)(199), then the slope of the line passing through (α,β) and origin is

[18 Mar 2021 Shift 1]

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