WBJEE 2019 Math Solved Paper

A particle starts at the origin and moves 1 unit horizontally to the right and reaches P1, then it moves

1

2

unit vertically up and reaches P2, then it moves

1

4

unit horizontally to right and reaches P3, then it moves

1

8

unit vertically down and reaches P4, then it moves

1

16

unit horizontally to right and reaches P5 and so on. Let Pn=(xn,yn) and

lim

n→∞

xn = α and

lim

n→∞

yn = β. Then (α, β) is