Acircle that is centered at the origin contains the point (0,4). how can you prove or disprove that the point (2,6) also lies on the circle? does the point (2,6) lie on the circle?

The point   does not lie on the circle

Step-by-step explanation:

Step 1

Find the equation of the circle

we know that

The equation of the circle in center radius form is equal to

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have that the center is at the origin so

substitute

The point lie on the circle

so

substitute in the equation and solve for r

-------->

The equation of the circle is equal to

Step 2

Verify if the point lie on the circle

we know that

If a ordered pair lie on the circle, then the ordered pair must be satisfy the equation of the circle

Substitute the value of x and the value of y in the equation and then compare

------> is not true

therefore

The point   does not lie on the circle

i believe the answer is letter c) 8

step-by-step explanation: