Question

Question stated below. Please choose either A, B, C, or D.

Answer 1

Given

Radius= 4 units

center = (2, -1)

Find

Pairs of coordinates represent points on the circle.

Step-by-step explanation

As, we know the equation of a circle with radius, r and centre (a,b) is given by

`(x-a)^2+(y-b)^2=r^2`

now, by substitute value of r and centre points in above equation

`(x-2)^2+(y+1)^2=16`

Now, by satisfying all the options in above equation,

`\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}`

so , the points satisfying the equation of circle.

FInal Answer

The correct option is A