Q (0, 1) is equidistant from P (5, -3) and R (x, 6), find the values of x. Also, find the distances QR and PR.

Coordinates are Q(0, 1), P (5, -3) and R (x, 6),

Using distance formula =

⇒ QP = QR

On squaring both sides, we get

=

=

=

proved

QR = = = units

PR = = = units