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Question

A ray of light moving parallel to the x-axis gets reflected from a parabolic mirror whose equation is (y2)2=4(x+1). After reflection, the ray must pass through the point

A
(0,2)
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B
(2,0)
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C
(0,2)
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D
(1,2)
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Solution

The correct option is A (0,2)
Given parabola is (y2)2=4(x+1)
Y2=4aX where X=x+1,Y=Y2,a=1
We know focus of parabola Y2=4aX is (X=a,Y=0)
(x+1=1,y2=0)=(0,2)
Thus focus of the given parabola is (0,2)
We know every reflected ray from parabolic mirror passes through its focus. Hence option 'A' is correct choice.

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