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** Q 1669791615. ** two poles are placed at `P` and `Q` on either side of a

road such that the line joining `P` and `Q` is

perpendicular to the length of the road. A person

moves `x m` away from `P` parallel to the road and

places another pole at `R`. Then, the person moves

further `x m` in the same direction and turns and

moves a distance `y m` away from the road

perpendicularly. where he finds himself, `Q`and `R`

on the same line. The distance between `P` and `Q`

(i.e. the width of the road) in metre is

**CDS 2016 **