Question

Is the point (2,-11) on the circle with radius 5 and center (2,13)?

Answer 1

No

Explanation:

Identify the equation for the circle

`(x-h)^2+(y-k)^2=r^2\\(x-2)^2+(y-13)^2=5^2\\(x-2)^2+(y-13)^2=25`

Check if (2,-11) is a point on the circle

`(x-2)^2+(y-13)^2=25\\(2-2)^2+(-11-13)^2=25\\0^2+(-24)^2=25\\576\\eq25`

Since both sides of the equation are not equal to each other, then (2,-11) is not a point on the circle.