Question

Does the point (2,76) 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, 5) is 3 units.
NO
(3,0)
O No, the distance from (3, 0) to (2, V5) is not 3 units.
-5--
22
+
O No, the distance from (0, 0) to (2, V) is not 3 units.
Distance formula: V1x2 – xp)2 + (V2 - 72​

Answer 1

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

Explanation:

In the figure attached, the problem is shown clearly.

Distance formula:

√[(x2 - x1)² + (y2 - y1)²]

Distance between (0, 0) and (3, 0)

√[(3 - 0)² + (0 - 0)²] = 3

Then, a point lies on the circle shown if the distance between it and center is 3.

Distance between (0, 0) and (2, √6)

√[(2 - 0)² + (√6 - 0)²] = √[4 + 6] = √10 ≠ 3