The Equation Of The Circle Drawn With The Two Foci Of as The End-points Of a Diameter, Is

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Question

The equation of the circle drawn with the two foci of as the end-points of a diameter, is

x² + y² = a² - b²

easy

Solution

Correct option is

x² + y² = a² - b²

The coordinates of two foci of the given ellipse are S(ae, 0) and

S’(–ae, 0). So, equation of the circle with SS’ as diameter is

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