Angle of intersection of two circle and orthogonal intersection of circles

Two congruent intersecting circles.

Angle OF Intersection OF two circle|| Condition OF orthogonality|| Radical axis (theory)

radical axis,angle OF intersection,condition OF orthogonality||family OF circle

Intersection of Ellipse with Circle

If the circles x ^(2) + y ^(2) + 5x -6y-1=0 and x ^(2) + y^(2) +ax -y +1=0 intersect orthogonally (the tangents at the point of intersection of the circles are at right angles), the value of a is

The equation of a circle C_(1) is x^(2)+y^(2)=4 The locus of the intersection of orthogonal tangents to the circle is the curve C_(2) and the locus of the intersection of perpendicular tangents to the curve C_(2) is the curve C_(3), Then

Three circles each with radius r intersect each other such that each passes through the center of the other two circles.Find the area of the intersection of their interiors.

Intersection of Parabola with Circle

Property 1: The equation of the family of circles passing through the point of intersection of two given circles.

Intersection of Hyperbola with Circle