Let I and IA denote the incentre and excentre opposite to A of scalene △ABC respectively. Let A′ be the antipode of A in ⊙(ABC) and L be the midpoint of arc (BAC). Let LB and LC intersect AI at points Y and Z respectively. Prove that ⊙(LYZ) is tangent to ⊙(A′IIA).~Mahavir Gandhi geometrygeometry solvedtangent circlesAngle ChasingincenterexcenterInversion