Question

HELP DUE IN 10 MINS!

Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.

A. (3,5)


B. (5,5)


C. (3,3)


D. (1,5)


E. (-1,5)


F. (3,7)

Answer 1

Answer:

B. (5,5)

C. (3,3)

D. (1,5)

F. (3,7)

Step-by-step explanation:

The equation of a circle with radius $r$ and center $(h, k)$ is given by:

$(x-h)^2+(y-k)^2=r^2$

From this, we can find that the radius of the circle is $\sqrt{4}=2$ and the center of the circle is at $(3, 5)$. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.

Out of all options given, the desired answers are:

B. (5,5)

C. (3,3)

D. (1,5)

F. (3,7)