Question

A line segment is of the length $15units$ and one end is at the point $(3,2)$, if the abscissa of the other end is $15$, then find possible ordinates.

Answer 1

AB$=15$, where $A93,2)$ and $B(15,y_1)$ (say)

=>${15}^2=(15-3{)}^2+{(2-y_1)}^2=>4+y_1^2-4y_1=81y_1^2-4y_1-77=0=>y_1=-7,+11$