A circle cuts two perpendicular lines so that each intercept is of given length. The locus of the centre of the circle is conic whose eccentricity is

The locus of centre of the circle touching x-axis nad the line y=x is

The locus of the centre of a circle which touches two given circles externally is a

Find the locus of centres of circles which touch two intersecting lines.

The locus of the centre of the circles which touches both the axes is given by

The locus of the centres of all circles passing through two fixed points.

The locus of the centre of a circle the touches the given circle externally is a _______

A circle touches the line L and the circle C_1 externally such that both the circles are on the same side of the line, then the locus of centre of the circle is (a) Ellipse (b) Hyperbola (c) Parabola (d) Parts of straight line

A line is tangent to a circle if the length of perpendicular from the centre of the circle to the line is equal to the radius of the circle. For all values of theta the lines (x-3) cos theta + (y-4) sin theta = 1 touch the circle having radius. (A) 2 (B) 1 (C) 5 (D) none of these

A straight line moves so that the product of the length of the perpendiculars on it from two fixed points is constant. Prove that the locus of the feet of the perpendiculars from each of these points upon the straight line is a unique circle.

A circle touches a given straight line and cuts off a constant length 2d from another straight line perpendicular to the first straight line. The locus of the centre of the circle, is