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$If (5 , 12) and (24, 7) arc the foci of an ellipse passing through the origin, then the eccentricity of the ellipse is$

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detailed solution

Correct option is B

The two foci are S(5,12) and S′(24,7) and the ellipse passes through origin O, then SO=25+144=13;S′O=576+49=25 and SS′=386 If a conic be an ellipse, then SO+S′O=2a and SS′=2ae∴ e=SS′S′O+SO=38638

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