Parabola

Let the circles and , intersect at the points X and Y. Suppose that another circle satisfies the following conditions: centre of is collinear with the centres of and , and both lie inside , and touches at M and at N. Let the line through X and Y intersect at Z and W, and let a common tangent of and be a tangent to the parabola There are some expressions given in the List-I whose values are given in List-II below: Which of the following is the only CORRECT combination?

Let the circles and , intersect at the points X and Y. Suppose that another circle satisfies the following conditions: centre of is collinear with the centres of and , and both lie inside , and touches at M and at N. Let the line through X and Y intersect at Z and W, and let a common tangent of and be a tangent to the parabola There are some expressions given in the List-I whose values are given in List-II below: Which of the following is the only INCORRECT combination?