Orthogonal circles

Orthogonal circles are two circles that intersect at right angles. This means that the tangents to the circles at the points of intersection are perpendicular to each other. Mathematically, if you have two circles defined by their equations, say: 1. Circle \( C_1 \): \( (x - a_1)^2 + (y - b_1)^2 = r_1^2 \) 2.