Answer:
c) Equation of the circle
[tex]\sqrt{(x+7)^2+(y-2)^2}=5[/tex]
Step-by-step explanation:
Given center of the circle C(-7,2) and containing the Point P(-3,5)
C P = r
C P = [tex]\sqrt{(x_{2} -x_{1})^2+(y_{2} -y_{1} })^2 }[/tex]
C P = [tex]\sqrt{(-3 -(-7))^2+(5 -2})^2 }[/tex]
C P = [tex]\sqrt{16+9} = 5[/tex]
The radius r = 5
The equation of the circle C(-7,2) and radius =5
[tex](x-h)^2+(y-k)^2 = (r)^2[/tex]
[tex](x-(-7))^2+(y-2)^2 = 25[/tex]
