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.

The auxiliary circle of a family of ellipses passes through the origin and makes intercepts of 8units and 6units on the x and y-axis,respectively.If the eccentricity of all such ellipses is (1)/(2), then find the locus of the focus.

The auxiliary circle of a family of ellipse passes through the origin and makes intercepts of 8 and 6 units on the x- and y-axis, respectively. If the eccentricity of all such ellipses is 1/2 , then the locus of the focus will be (x^2)/(16)+(y^2)/9=25 4x^2+4y^2-32 y+75=0 (x^2)/(16)+(y^2)/9=25 (d) None of these

Find the equation of a circle which passes through the origin and makes intercepts of 2 units and 4 units on x-axis and y-axis respectively.

The equation of the circles which pass through the origin and makes intercepts of lengths 4 and 8 on the x and y-axis respectively are

The equation of the circles which pass through the origin and makes intercepts of lengths 4 and 8 on the x and y-axis respectively are

The equations of the circles which pass through the origin and makes intercepts of lengths 4 and 8 on the x and y axis respectively, are :

Find the equation of the circle, which passes through the origin and makes intercepts 4 and 2 on the x and y axes respectively.

Find the equation of the circle, which passes through the origin and makes intercepts 4 and 2 on the x and y axes respectively.

The equations of the circle which pass through the origin and make intercepts of lengths 4 and 8 on the X and Y-axes respectively are