Question
Let S and S’ be two foci of the ellipse . If a circle described on SS’ as diameter intersects the ellipse in real and distinct points, then the eccentricity e of the ellipse satisfies




None of these
medium
Solution
The equation of the circle described on SS’ as a diameter is
The abscissa of the points of intersection of the ellipse and this circle are the roots of the equation
This will give distinct values of x is .
SIMILAR QUESTIONS
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