Question

The equation of circle with centre $(1,1)$ and radius 4 is given by $(x-1{)}^2+(y-1{)}^2=4$

• A. True
• B. False

Answer 1

The correct option is B

False

The centre of the circle is O$(1,1)$ and radius is 4 units. Let us consider a general point P on the circle. Let the co-ordinates of the point P be $(x,y)$.

$PO=4$

$\Rightarrow \sqrt{(x-1{)}^2+(y-1{)}^2}=4$

$\Rightarrow (x-1{)}^2+(y-1{)}^2=16$ is the equation of the circle.