Question
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)