Two circles with equal radii 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:
Orthogonality of two circle -
Two circles and are said to be orthogonal ,if tangents at their point of intersection include right angle.
Let centre of circle are &
equation of circles are
since circles are orthogonal so ,
Distance between & is