Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it?
a.
(4
, 2
)
b.
(4
, 2
)
c.
(4
, 2
)
d.
(4
, 2
)
a.
(4, 2)
b.
(4, 2)
c.
(4, 2)
d.
(4, 2)
Question ID - 57129 | SaraNextGen Top Answer Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it?
a.
(4, 2)
b.
(4, 2)
c.
(4, 2)
d.
(4, 2)
Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it?
|
a. |
(4 |
b. |
(4 |
|
c. |
(4 |
d. |
(4 |
1 Answer
127 votes
Answer Key / Explanation : (b) -
= 8 and 2ae = 2b
⇒ 
=e and 1−e2 = e2 ⇒ e = 
⇒ b = 4
and a = 8
So equation of ellipse is 
+ 
= 1
127 votes
Answer Link
127