Two plane mirrors intersect at origin. An object 'O' is kept at a distance R on negative y-axis as shown in the figure. The co-ordinates of images formed after three reflections will be (first reflection is is considered at `m_(1)`)

Options

A. `(-R//2,+sqrt(3)R//2)(-R,0)&(+sqrt(3)R//2,+R//2)`
B. `(-sqrt(3)R//2,+R//2)(+R,0)&(+(R)/(sqrt(2)),+(R)/(sqrt(2)))`
C. `(sqrt(3)R//2)(-R,0)&(+R//2,+sqrt(3)R//2)`
D. `((-R)/(sqrt(2)),(R)/(sqrt(2)))(+R,0)&(+(R)/(2),+sqrt(3)(R)/(2))`

Answer

C

Explanation

`l_(3R)=(-(sqrt(3)R)/(2),(R)/(2))&((+R)/(2),+(sqrt(3)R)/(2))`