Conic Sections Question 530

Question: The equation of the parabola whose vertex and focus lies on the x-axis at distance a and a- from the origin, is

[RPET 2000]

Options:

A) $ y^{2}=4({a}’-a)(x-a) $

B) $ y^{2}=4(a’-a)(x+a) $

C) $ y^{2}=4(a’+a)(x-a) $

D) $ y^{2}=4(a’+a)(x+a) $

Show Answer

Answer:

Correct Answer: A

Solution:

Equation will be of the form $ y^{2}=4A(x-a) $ , where $ A=({a}’-a) $ or $ y^{2}=4({a}’-a)(x-a) $ .