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  • A ray of light moving parallel to the x-axis gets reflected from a parabolic mirror whose equation is <img alt="\mathrm{ (y-2)^2=4(x+1)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%

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

Option: 1

(0,2)


Option: 2

(2,0)


Option: 3

(0,-2)


Option: 4

(-1,2)


Answers (1)

best_answer

The equation of the axis of the parabola is \mathrm{y-2=0}, which is parallel to the x-axis. So, a ray parallel to x-axis is parallel to the axis of the parabola. We know that any ray parallel to the axis of a parabola passes through the focus after reflection. Here (0,2) is the focus.

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