If point B(0, 1) is equidistant from points A(5, -3) and C(x, 6), then find the values of x.
Answer & explanation
Correct answer: option 3
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