If A (3, y) is equidistant from points P (8, -3) and Q (7,6) , find the value of y and find the distance AQ.
Coordinates are P(8, -3) and Q(7,6)
The point A (3, y) is equidistant.
Using distance formula =
⇒ PA = QA
On squaring both sides, we get
=
=
= 1
AQ = =
=
units