Question

On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.

Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

Does the point (2, StartRoot 6 EndRoot) lie on the circle shown? Explain.

Yes, the distance from (3, 0) to (0, 0) is 3 units.
Yes, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is 3 units.
No, the distance from (3, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.

Answer 1

Answer: Option (4)

Explanation:

We know that the radius of the circle is 3.

Using the distance formula, the distance from the given point to the center is

`\sqrt{(√(6)-0)^(2)+(2-0)^(2)} = √(10) \\eq 3`