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Question: The equation to the parabola whose vertex and focus are on the x-axis at distances a and a’ from the...

The equation to the parabola whose vertex and focus are on the x-axis at distances a and a’ from the origin respectively, is

A

y2 = 4(a1-a)(x-a)

B

y2 = 4(a1-a)(x-a’)

C

x2 = 4(a1-a)(y-a)

D

y2 = 4(a-a’)(x-a)

Answer

y2 = 4(a1-a)(x-a)

Explanation

Solution

By given data vertex = (a, 0)

Length latusrectum = 4 (distance between vertex and focus)

= 4(a1- a).

∴ The equation of parabola is y2 = 4(a1-a)(x-a)