The auxiliary circle of a family of ellipses passes through the | Filo
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Class 11

Math

Co-ordinate Geometry

Conic Sections

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The auxiliary circle of a family of ellipses passes through the origin and makes intercepts of 8 units and 6 units on the x and y-axis, respectively. If the eccentricity of all such ellipses is then find the locus of the focus.

Solution: Solution:
let focus be
let distanc of focus from centre = al
al =
a = radius of ac = 5



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