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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)


Question ID - 57129 | Toppr 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)

1 Answer - 5876 Votes

3537

Answer Key : (b) -

 = 8 and 2ae = 2b

 =e and 1−e2 = e2 ⇒ e =

⇒ b = 4 and a = 8

So equation of ellipse is  +  = 1



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