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Question

A ray parallel to the x - axis is incident at a point P on a parabolic reflecting surface, and the reflected ray becomes parallel to y - axis as shown in the figure. If the equation of parabola is given by y22x=0 , then the coordinates of point P are


A
(1,12)
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B
(12,1)
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C
(32,1)
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D
(13,12)
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Solution

The correct option is B (12,1)

Given the equation of parabola as,y2=2x

Differentiating with respect to x,
2ydydx=2
dydx=1y

Now,
1y=(dydx)=tanθ=tan45=1

y=1

Putting y=1 in y2=2xx=12

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