Does the point (-10,3) lie on the circle that passes through the point(-2,9) with center (-3,2)?

Accepted Solution

Answer:Yes, last answer is correctStep-by-step explanation:Circle is a set of points that have the same distance to the center (radius). You can calculate the radius in both cases. Distance between the center (-3,2) and the given point (-2,9) is sqrt((-3+2)^2+(2-9)^2) = sqrt(50) = 5sqrt(2). When you check the point in question (-10, 3), the distance is sqrt((-10+3)^2+(3-2(^2) = sqrt(50) = 5sqrt(2). Distance is the same so this point is on the circle (all the points with this distance from the center will be on the circle)