JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

\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

View answer and explanation

Correct option: B

550

Option B (550) is correct. The slope is calculated by simplifying the given equation and then finding the values of

\alpha

and

\beta

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