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  • A ray of light travels along a line y = 4 and strikes the surface of a curve <img alt="y^2 = 4(x + y)" src="https://entrancecorner.oncodecogs.com/gif.latex?y%5E2%20%3D%204%28x%20&plus;%20y%29"

A ray of light travels along a line y = 4 and strikes the surface of a curve y^2 = 4(x + y)  then equation of the line along reflected ray travels, is

Option: 1

x = 0 


Option: 2

x = 2 


Option: 3

x+ y = 4 


Option: 4

2x + y = 4 


Answers (1)

best_answer

As we have learnt in

 

Standard equation of parabola -

y^{2}=4ax

- wherein

 

 

Given curve is  (y-2 ) ^ 2 = 4 ( x +1 )

        focus   (x + 1 = 1, y – 2 = 0)    Þ   (0, 2)

            Point of intersection of the curve and            

                  

            y = 4 is (0,4) from the reflection property

            of parabola reflected ray passes through the focus.

            \         x = 0 is required line

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