Conic Sections Question 494
Question: The co-ordinates of the extremities of the latus rectum of the parabola $ 5y^{2}=4x $ are
Options:
A) $ (1/5,\ 2/5),\ (-1/5,\ 2/5) $
B) $ (1/5,\ 2/5),\ (1/5,\ -2/5) $
C) $ (1/5,\ 4/5),\ (1/5,\ -4/5) $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ y^{2}=4.\frac{1}{5}x;a=\frac{1}{5} $ . Focus is $ ( \frac{1}{5},0 ) $ and co-ordinates of latus rectum are $ y^{2}=\frac{4}{25} $
therefore $ y=\pm \frac{2}{5} $
or end points of latus rectum are $ ( \frac{1}{5},\pm \frac{2}{5} ) $ .
BETA
