jee-main 2021 Q64

jee-main · India · session2_18mar_shift1 Arithmetic Sequences and Series Summation of Derived Sequence from AP

If $\alpha , \beta$ are natural numbers such that $100 ^ { \alpha } - 199 \beta = ( 100 ) ( 100 ) + ( 99 ) ( 101 ) + ( 98 ) ( 102 ) + \ldots . + ( 1 ) ( 199 )$, then the slope of the line passing through $( \alpha , \beta )$ and origin is:
(1) 540
(2) 550
(3) 530
(4) 510

If $\alpha , \beta$ are natural numbers such that\\
$100 ^ { \alpha } - 199 \beta = ( 100 ) ( 100 ) + ( 99 ) ( 101 ) + ( 98 ) ( 102 ) + \ldots . + ( 1 ) ( 199 )$, then the slope of the line passing through $( \alpha , \beta )$ and origin is:\\
(1) 540\\
(2) 550\\
(3) 530\\
(4) 510

Paper Questions

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