ParabolaHard
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)
Create a free account to view solution
View Solution FreeMore Parabola Questions
If the tangents and normals at the extremities of a focal chord of a parabola intersect at (x1, y1) and (x2, y2) respect...Let P (x1, y1) and Q (x2, y2), y1 2 2 + 4y2 = 4. The equations of parabolas with latus rectum PQ are...The straight line joining any point P on the parabola y2 = 4ax to the vertex and perpendicular from the focus to the tan...The co-ordinates of a point on the parabola 2y = x2 which is nearest to the point (0, 3) is...Let PSQ be the focal chord of the parabola, y2 = 8x. If the length of SP = 6 then, i(SQ) is equal to(where S is the focu...