Short Answer: False
Long Answer: Ok, so first you find the distance from the center of the circle to a point on the circle (2,6), to find the radius.
(1,3) to (2,6)
Use pythogarem theorem: you are going up one and to the right 3
So you have sides, 1 and 3 so (1^2 + 3^2) = mystery side ^ 2
mystery side ^ 2 = 10
mystery side (let's call it x)
x = sq rt of 10
so, if (-3,6) is on the circle, it has to be exactly sq rt of 10 units away from (1,3), because all points on circle are equidistant from the center.
So, from 1,3 to -3,6 you go left 4 and up 3,
So you have sides 4 and 3, and in the pythogaream theorem, if one side is 3, another side is 4, then the last side must be 5 (3^2+4^2 = 5^2). Keep in mind this is only for RIGHT triangles.
So, from 1,3 to 2,6 is sqrt of 10, but to -3,6 it is 5
since sqrt of 10 is not equal to 5
the points are not equidistant
from the center
so -3,6 is not on the circle
so the answer is FALSE

Positive: 66.666666666667 %

Answer #2 | 26/12 2013 14:11

The distance from the center to (2, 6) is
√[(6 - 3)² + (2 - 1)²] = √(10)
The distance from the center to (-3, 6) is
√[(6 - 3)² + (-3 - 1)²] = √(25) = 5, so the point is not on the given circle. False.

Answer #1| 26/12 2013 14:1166.666666666667 %