Question
Question: The latus rectum of an ellipse is 10 and the minor axis is equal to the distance between the foci. T...
The latus rectum of an ellipse is 10 and the minor axis is equal to the distance between the foci. The equation of the ellipse is-
A
x2 + 2y2 = 100
B
x2 + 2y2 = 10
C
x2 – 2y2 = 100
D
None of these
Answer
x2 + 2y2 = 100
Explanation
Solution
a2b2=10 and 2b = 2ae ̃ b = ae ̃ b2 = a2e2
̃ a2(1– e2) = a2e2 ̃ e = 21