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 mino…

Question

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?

Accepted Answer

Correct answer: B. (b) JEE Main 2019 Let the ellipse be x^2a^2 y^2b^2=1 Then, 2b^2a=8 ,2 ae=b^2 and b^2=a^2(1-e^2) ⇒a=8 ,b^2=32 Then, the equation of the ellipse x^264+ y^232=1 Hence, the point (4 3 ,2 2 ) lies on the ellipse.

$Let the length of the latus rectum of an ellipse with its major axis along x -axis and centre at the origin, be 8 . If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it?$

Solution

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