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 origin is:

Sequence and Series: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Morning shift · Q5321

JEE Main 202118 Mar, Morning shiftMathematicsEasySequence and Series179× since 2002

\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 :

JEE Main 2021 · 18 Mar, Morning shift · Q5321

JEE Main 202118 Mar, Morning shiftMathematicsEasySequence and Series179× since 2002

\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 :