Question

Which point is on the circle described by (x - 2)2 + (y + 3)2 = 4?

(0, 0)

(2, 0)

(2, -5)

(1, -4)

Answer 1

Please use " ^ " to denote exponentiation:

(x - 2)^2 + (y + 3)^2 = 4

Test each point, one by one,to determine which coordinates satisfy the equation. For example, (0,0) results in (0-2)^2 + (0+3)^2 = 4, which in turn is 4 + 9, which does NOT equal 4. Reject (0,0). Move on to testing the other 3 points.