Question

If the center of a circle is (3, -4) and the radius is 6, which point lies on the circle?

a. (-3, 4)

b. (-3, -2)

c. (0, 0)

d. (9, -4)

Answer 1

There are no two natural numbers whose squares add up to 6^2 = 36. So we're looking for a point with the same x or y coordinate as our center, and the other coordinate differs by six.

Going through the options, only d has a matching coordinate (y=-4) and the x coordinates happily differ by six as well.

Choice d

Answer 2

The answer is D. (9, -4)