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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 travel is

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A ray of light travels along a line y = 4 and strikes the surface of a curve y2 = 4(x + y) then equation of the line along reflected ray travel is

a. x + 1 = 0

b. y – 2 = 0

c. x = 0

d. x – 2 = 0

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Correct option is c. x = 0

y2 – 4y = 4x

(y – 2)2 = 4(x + 1)

Focus (0,2)

Incident ray is parallel to axis of the parabola, so reflected ray passes through focus (0,2) i.e. x = 0

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