A circle with radius 10 and center (h,6) passes through the points (8,-2). Find the possible values of h.

Question

a. 2 or 8
b. 2 or -6
c. -6 or 14
d. 2 or 14

Answer 1

Standard form of circleequation is ---> (1)

Given radius = 10

Circle passes through

Circle center

Substitute above values in equation (1).

Subtract 100 from each side.

Take out common factors..

Add 14 to each side.

And

Add 2 to each side.

Possible value of h = 2 or 14.

Option d  is correct choice.