Using distance formula, show that (3, 3) is the center of the circle passing through the points (6, 2), (0, 4) and (4, 6).
Coordinate Geometry
79 Likes

Question

Using distance formula, show that (3, 3) is the center of the circle passing through the points (6, 2), (0, 4) and (4, 6).

KnowledgeBoat · Accepted Answer

Given, Center (O) = (3, 3) Let, A = (6, 2), B = (0, 4) and C = (4, 6). By distance formula, Since, AO = BO = CO. Hence, proved that (3, 3) is the center of the circle passing through the points (6, 2), (0, 4) and (4, 6).

Mathematics

Using distance formula, show that (3, 3) is the center of the circle passing through the points (6, 2), (0, 4) and (4, 6).

Coordinate Geometry

Related Questions

If the points A(4, 3) and B(x, 5) are on a circle with center C(2, 3), find the values of x.

If a point A(0, 2) is equidistant from the points B(3, p) and C(p, 5), then find the value of p.

The center of a circle is C(2α - 1, 3α + 1) and it passes through the point A(-3, -1). If a diameter of the circle is of length 20 units, find the value(s) of α.

Using distance formula, show that the points A(3, 1), B(6, 4) and C(8, 6) are collinear.