Home
Class 11
MATHS
The auxiliary circle of a family of elli...

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 `1/2,` then find the locus of the focus.

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the circle passing through the origin and cutting intercepts of lengths 3 units and 4 unitss from the positive exes.

The locus of centre of a circle which passes through the origin and cuts off a length of 4 units on the line x =3 is

Find the differential equation of the family of circles passing through the origin and having their centres on the x - axis.

The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

Find the locus of the center of the circle which cuts off intercepts of lengths 2aa n d2b from the x-and the y-axis, respectively.

A straight red of the length 6 units , slides with its ends A and B always on the x and y axes respectively. If O is the origin , then find the locus of the centroid of DeltaOAB .

If the intercepts of the variable circle on the x- and yl-axis are 2 units and 4 units, respectively, then find the locus of the center of the variable circle.

if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord then the eccentricity of the ellipse is

Circles are drawn through the point (2, 0) to cut intercept of length 5 units on the x-axis. If their centers lie in the first quadrant, then find their equation.