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}) $ .