Question

c = (a-b) , r =a+b
Find the equation of the circles with centre c and radius r where​

Answer 1

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