Q13 of 63 Page 202

If the eccentricity of an ellipse is 5/8 and the distance between its foci is 10, then find latus rectum of the ellipse.

Equation of an ellipse = , whereas


Length of latus rectum =


Length of minor axis = 2b



Foci = (±ae,0)


Distance between foci = 10 (Given)


2ae = 10



a = 8


b2 = a2 (1 - e2)





Length of Latus Rectum =


Hence, the length of latus rectum is 9.75 units.


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