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Terminologies Related to an Ellipse

A circle cuts...

Question

A circle cuts the X-axis and Y-axis such that intercept on X-axis is a constant a and intercept on Y-axis is a constant b. Then eccentricity of locus of centre of circle is

A

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B

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C

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D

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Solution

The correct option is C
Locus of centre of circle is a rectangular hyperbola hence its eccentricity is
$\sqrt{2}$ .

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