Problems(1)
Let ABCD be a convex cyclic quadrilateral with circumcircle ω. Let BA produced beyond A meet CD produced beyond D, at L. Let ℓ be a line through L meeting AD and BC at M and N respectively, so that M,D (respectively N,C) are on opposite sides of A (resp. B). Suppose K and J are points on the arc AB of ω not containing C,D so that MK,NJ are tangent to ω. Prove that K,J,L are collinear.Proposed by Rijul Saini geometry