Let ABC be a triangle.Incircle (I)(I is center) touch BC;CA;AB at D;E;F,respectively. AD cuts (I) at L(L \neq D)<br />
DH \perp EF(H \in EF)
DI cuts (I) at  K(K \neq D)
EF cuts BC at Q
Prove that QL is tagent of circumcircle of triangle HKL