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 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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