Find the locus of center of circle of radius 2 units, if intercept cut on the x-axis is twice of intercept cut on the y-axis by the circle.

The locus of centre of circle of radius 2 units, if intercept cut on x-axis by circle is twice of intercept on y-axis is

The locus of the centre of circle which cuts off an intercept of constant length on the x-axis and which through a fixed point on the y-axis, is

Find the Equation; radius; center of the circle and its x intercept and y intercept?

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

Find the equation of the line which cuts off intercepts-3 and 5 on the x-axis and y-axis respectively.

Find the equation of the line which cuts off intercepts 4 and -6 on the x-axis and y-axis respectively.

Prove that the locus of the center of a circle, which intercepts a chord of given length 2a on the axis of x and passes through a given point on the axis of y distant b from the origin,is a parabola.

Find the equation of the line which cuts off an intercept -5 on y-axis and has slope 1/2 .

The extremities of a diagonal of a rectangle are (-4,4) and (6,-1). A circle circumscribe the rectangle and cuts an intercept AB on the y-axis. Find the area of the triangle formed by AB and the tangents to the circle at A and B.

A circle touches x-axis at (2, 0) and has an intercept of 4 units on the y-axis. Find its equation.