Question

the point A (3,y) is equidistant from the points P(6,5) and Q(0,-3). find the value of y.

Answer 1

(6-3)²+(5-y)²=(3-0)²+(y+3)²,

3²+(5²+y²-10y)=3²+(y²+3²+6y),

9+25+y²-10y=9+y²+9+6y,

25-9=6y+10y,

16=16y,

then

16/16 = y,

y=1