The circle ω with center O has given. From an arbitrary point T outside of ω draw tangents TB and TC to it. K and H are on TB and TC respectively.a) B′ and C′ are the second intersection point of OB and OC with ω respectively. K′ and H′ are on angle bisectors of ∠BCO and ∠CBO respectively such that KK′⊥BC and HH′⊥BC. Prove that K,H′,B′ are collinear if and only if H,K′,C′ are collinear.b) Consider there exist two circle in TBC such that they are tangent two each other at J and both of them are tangent to ω.and one of them is tangent to TB at K and other one is tangent to TC at H. Prove that two quadrilateral BKJI and CHJI are cyclic (I is incenter of triangle OBC). geometryincentergeometric transformationhomothetymoving points