Given
Radius= 4 units
center = (2, -1)
Find
Pairs of coordinates represent points on the circle.
Explanation
As, we know the equation of a circle with radius, r and centre (a,b) is given by
[tex](x-a)^2+(y-b)^2=r^2[/tex]
now, by substitute value of r and centre points in above equation
[tex](x-2)^2+(y+1)^2=16[/tex]
Now, by satisfying all the options in above equation,
[tex]\begin{gathered} (2,-5)=\left(2-2\right)^2+(-5+1)^2=16 \\ (6,-1)=\left(6-2\right)^2+(-1+1)^2=16 \end{gathered}[/tex]
so , the points satisfying the equation of circle.
FInal Answer
The correct option is A
