Question: Answer the following by appropriately matching the lists based on the information given in the paragraph Let the circles C : x + y

Answer the following by appropriately matching the lists based on the information

Answer the following by appropriately matching the lists based on the information given in the paragraph Let the circles C : x + y = 9 and C: (x-3) + (y-4) = 16, intersect at the points X and Y. Suppose that another circle C3: (x-h) + (y-k) = r satisfies and following conditions: centre of C3 is collinear with the centres of C and C (i) (ii) C and C both lie inside C3, and (iii) C3 touches C at M and C at N. Let the line through X and Y intersect C3 at Z and W, and let a common tangent of C and C3 be a tangent to the parabola x = 8ay. There are some expressions given in the List-I whose values are given in List-II below: List - II List - I (1) (II) (III) (IV) 2h + k Length of ZW Length of XY Area of triangle MZN Area of triangle ZMW a (P) 6 (Q) 6 (R) (T) (U) 4 21 5 26 10 3 Which of the following is the only INCORRECT combination? A. (IV), (S) B. C. (IV), (U) D. (III), (R) (I), (P)

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