Practicing Success
If point B(0, 1) is equidistant from points A(5, -3) and C(x, 6), then find the values of x. |
±2 ±8 ±4 ±5 |
±4 |
If the points are equidistant, then, \(\sqrt {(5-0)^2 + (-3-1)^2}\) = \(\sqrt {(x-0)^2 + (6-1)^2}\) \(\sqrt{25 + 16}\) = \(\sqrt{(x^2 + 25)}\) x2 = 41-25 = 16 x = ±4 The correct answer is Option (3) → ±4 |