ParabolaEasy
Question
The equation of image of parabola x2 = 4y with respect to line mirror x - y + 2 = 0 is -
Options
A.4(y - 2) = (x + 2)2
B.4(y + 2) = (x - 2)2
C.4(x + 2) = (y - 2)2
D.4(y - 2) = (x - 2)2
Solution
Any point on parabola x2 = 4y is (2t, t2)
∴
⇒ x = t2 - 2 and y = 2(t + 1)
eliminating t, equation of parabola is
(y - 2)2 = 4(x + 2)
∴
⇒ x = t2 - 2 and y = 2(t + 1)
eliminating t, equation of parabola is
(y - 2)2 = 4(x + 2)
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