Question
The auxiliary circle of a family of ellipses passes through the origin and makes intercepts of 8 unit on the x-and y-axis respectively. If the eccentricity of all such ellipses is 1./2 then find the locus of the focus.
Found 8 tutors discussing this question
Discuss this question LIVE
6 mins ago
Filo tutor solution
Learn from their 1-to-1 discussion with Filo tutors.
Generate FREE solution for this question from our expert tutors in next 60 seconds
Don't let anything interrupt your homework or exam prep with world’s only instant-tutoring, available 24x7
Practice questions from similar books
Question 1
If the coordinates of a variable point
are
where
is a variable quantity, then find the locus of Question 2
The ellipse is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse isQuestion 3
The circle with centre at O, intersects the parabola at the point P in the first quadrant. Let the tangent to the circle at P touches other two circles respectively. Suppose have equal radii and centres at and respectively. If and lie on the y-axis, then (a)(b)(c)area of triangle is (d)area of triangle Question Text | The auxiliary circle of a family of ellipses passes through the origin and makes intercepts of 8 unit on the x-and y-axis respectively. If the eccentricity of all such ellipses is 1./2 then find the locus of the focus. |