Does the point (1/7) lie on the circle shown?

The answer to your question is: The second option is correct.

Step-by-step explanation:

Data

Center (-2, 0)

Point (-2, 4)

Second point = (1, √7)

Formula

d = √(x2 - x1)² + (y2 - y1)²

Radius

              d = √(-2 +2)² + (4 - 0)²

              d = √ 0² + 4²

             d = √ 16

             d = 4

Distance from center to (1, √7)

             d = √(1 + 2)² + (√7 - 0)²

             d = √ 3³ + √7²

             d = √ 9 + 7

             d = √ 16

             d = 4

Both distances measure the same, so (1, √7) lies on the circle