Question
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.
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Text solutionVerified
Solution:
let focus be
let distanc of focus from centre = al
al =
a = radius of ac = 5
let focus be
let distanc of focus from centre = al
al =
a = radius of ac = 5
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Question Text | 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. |
Answer Type | Text solution:1 |
Upvotes | 150 |