A circle centered at the origin contains the point (4, -3).
Select all points that also lie on the circle.
A. (-3,-4)
B. (0,4)
C. (3,-2)
D. (5,0)

Respuesta :

The two points that also lie on the circle are:

A (-3,-4) and D (5,0)

Which points also ie on the circle?

We know that a all the points on a circle are equidistant to the center of the circle, and in this case, the center is the origin (0, 0).

We know that the point (4, -3) lies on the circle, so the radius of the circle is:

R = √( (4 - 0)^2 + (-3 - 0)^2) = √25 = 5

So, any point that is at 5 units of the origin will also lie on the circle.

These points are:

A: (-3, -4)

R = √(  (-3 - 0)^2 + (-4 - 0)^2) = √25 = 5

And the point D: (5, 0)

R = √( (5 - 0)^2 + (0 - 0)^2) = √25 = 5

So the correct options are A and D.

If you want to learn more about circles:

https://brainly.com/question/1559324

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