Conic Sections Question 492

Question: The points on the parabola $ y^{2}=12x $ whose focal distance is 4, are

Options:

A) $ (2,\ \sqrt{3}),\ (2,\ -\sqrt{3}) $

B) $ (1,\ 2\sqrt{3}),\ (1,-2\sqrt{3}) $

C) (1, 2)

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ a=3 $

therefore abscissa is $ 4-3=1 $ and $ y^{2}=12,\ y=\pm 2\sqrt{3} $ .

Hence points are $ (1,2\sqrt{3}),(1,-2\sqrt{3}) $ .