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A particle starts at the origin and move...

A particle starts at the origin and moves 1 unit horizontally to the right and reaches `P_(1)`, then it moves `(1)/(2)` unit vertically up and reaches `P_(2)`, then it moves `(1)/(4)` unit horizontally to right and reaches `P_(3)`, then it moves `(1)/(8)` unit vertically down and reaches `P_(4)`, then it moves `(1)/(16)` unit horizontally to right and reaches `P_(5)` and so on. Let `P_(n) = (x_(n), y_(n))` and `lim_(n rarr oo) x_(n) = alpha` and `lim_(n rarr oo) y_(n) = beta`. Then `(alpha, beta)` is

A

(2, 3)

B

`((4)/(3), (2)/(5))`

C

`((2)/(5), 1)`

D

`((4)/(3), 3)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
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