Question -
Answer -
Given:
The equation, (x – a) 2 +(y – b) 2 = r2
The given equation (x – a)2 +(y – b)2 = r2 can be transformed into the newequation by changing x by x – a + c and y by y – b, i.e. substitution of x by x+ a and y by y + b.
((x + a – c) – a)2 +((y – b ) – b)2 = r2
(x – c)2 + y2 = r2
x2 + c2 – 2cx + y2 =r2
x2 + y2 -2cx = r2 –c2
Hence, the transformed equation is x2 +y2 -2cx = r2 – c2