Question

The equation of the circle with the center (-3,4) and the radius 5 units is .

• A. $(x+3{)}^2+(y-4{)}^2=25$
• B. $(x-3{)}^2+(y+4{)}^2=25$
• C. $(x+3{)}^2+(y+4{)}^2=25$
• D. $(x-3{)}^2+(y-4{)}^2=25$

Answer 1

The correct option is A $(x+3{)}^2+(y-4{)}^2=25$

The equation of the circle with the center (h,k) and the radius r is:
$(x-h{)}^2+(y-k{)}^2=r^2$
∴ Equation of required circle will be :
$(x-{(-3))}^2+{(y-4)}^2=25\Rightarrow {(x+3)}^2+{(y-4)}^2=25$