A variable tangent t to the circle C1, of radius r1, intersects the circle C2, of radius r2 in A and B. The tangents to C2 through A and B intersect in P.
Find, as a function of r1 and r2, the distance between the centers of C1 and C2 such that the locus of P when t varies is contained in an equilateral hyperbola.Note: A hyperbola is said to be equilateral if its asymptotes are perpendicular. conicshyperbolafunctionAsymptoteanalytic geometrytrigonometrygeometry unsolved