Identify the equation of the circle B that passes through (4, -6) and has center (3, -2).

Answer:
solution given :
centre (h,k)=(3,-2)
another point (a,b)=(4,-6)
now
radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17
We have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x-4)²+(y+6)²=17 is a required equation.