Two circles with equal are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the order circle. Then the distance between the centres of these circles is.

Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

Two circles with equal radii are intersecting at the points (1,0) and (-1,0) . Then tangent at the point (1,0) to one of the circles passes through the centre of the other circle.Then the distance between the centres of these circles is:

Two circle intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12 , what is the radius of each circle?

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

Two circle touch each other externally at the point (0,k) and y-axis is the common tangent to these circles. Centres of these circle lie on the line

If we draw a tangents to a circle at a given point on it, when the centre of the circle is known, then the angle between the tangent and radius of the circle is

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

The line x = y touches a circle at the point (1, 1). If the circle also passes through the point (1, -3). Then its radius is 0

A circle passes through (0,0) and (1,0) and touches the circle x^(2)+y^(2)=9 then the centre of circle is -