Which point on the circle (x-6)^2+(y-2)^2=90 is closest to the origin? Which point is farthest from the origin? Explain.

Answer 1

a line from the origin, through the center of the circle, intersects the circle at the nearest and farthest points

the center of the circle is (6,2)

find the equation of the line, then substitute into the circle equation to find the intersection points