Question

Does the point “is on the circle shown? Explain.

Answer 1

Option 2: Yes, the distance from (-2,0) to (1,√7) is 4 units

Explanation:

The point is:

(1,√7)

If the point lies on the circle, then the distance of point and the center of circle should be equal to the radius of the circle.

The radius can be viewed from the diagram that it is 4 units.

The center is: (-2,0)

Now, distance:

`d = \sqrt{(x_2-x_1)^(2)+ (y_2-y_1)^(2)}\\ d = \sqrt{(-2-1)^(2)+ (0-√(7) )^(2)}\\ d = \sqrt{(-3)^(2)+ (-√(7) )^(2)}\\=√(9+7)\\ =√(16)\\ =4`

Hence, option 2 is correct ..