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c = (a-b) , r =a+b

Find the equation of the circles with centre c and radius r where

Question

c = (a-b) , r =a+b

Find the equation of the circles with centre c and radius r where

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Mathematics
11 months
2021-07-05T03:59:57+00:00
2021-07-05T03:59:57+00:00 1 Answers
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## Answers ( )

Answer:we know the equation of circle is:

(x-h)²+(y-k)² = r²

given (h,k) = (a,b)

and r = a+b

so, equation; (x-a)²+(y-b)²=(a+b)²

=> x²-2ax+a²+y²-2by+b² = a²+2ab+b²

=> x²+y²-2ax-2by-2ab = 0