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.

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.

The slope of the line 3x+2y=8 and its intercept on y- axis is -

Find the intercept form of a plane with intercepts 2,3 and 4 on the x,y and z-axis respectively.

Find the equation of the circle with radius 5 whose center lies on the x-axis and passes through the point (2, 3).

Find the equation of a circle through origin which cuts of intercepts -2 and 3 units from 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.

A circle touches the y-axis at the point (0, 4) and cuts the x-axis in a chord of length 6 units. Then find the radius of the circle.

Find the locus of the midpoints of the portion of the normal to the parabola y^2=4a x intercepted between the curve and the axis.

The sum of the intercepts cut off from the axes of coordinates by a variable straight line is 10 units . Find the locus of the point which divides internally the part of the straight line intercepted between the axes of coordinates in the ratio 2:3 .

Find the middle point of the chord of the circle x^2+y^2=25 intercepted on the line x-2y=2