The centres of the circles (x 8) 2 + (y 8) 2 = 117 and

Question:

The centres of the circles (x − 8)2 + (y − 8)2 = 117 and (x + 1)2 + (y − 3)2 = 106 are P and Q respectively.

a. Show that P lies on (x + 1)2 + (y − 3)2 = 106.

b. Find the length of PQ.

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