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Question

A reflecting surface is represented by the equation x2+y2=a2. A ray travelling in negative x-direction is deviated towards positive y-direction after reflection from the surface at point P. Then co-ordinates of point P are

A
(0.8a,0.6a)
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B
(0.6a,0.8a)
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C
(a2,a2)
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D
None of these
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Solution

The correct option is D None of these
Given mirror is circular in nature, so normal passes throught origin.
As after reflection ray moves along y axis
i+r=90
for reflection
i=r
2i=90i=r=45

The ray diagram is as shown.

​​​​​​​For point P
x=a2 and y=a2
P=(a2,a2)

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