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Question

Mathematics Question on circle

If C1: (x-α)2 +(y-β)2 =r12, c2: (x-6)2+ (y - 15/2)2 = r22 touches each other at (6, 6). If line joining centres of c1 & C2 is divided by (6, 6) in 2: 1 internally, then (α + β) + 4(r12 +r22) is equal to:

A

54

B

36

C

18

D

17

Answer

54

Explanation

Solution

The Correct answer is option is (A) : 54