If the point P (k -1, 2) is equidistant from the points A (3, k) and B (k,5), find the value of k.

Question

Philoid · Accepted Answer

Coordinates of points are A(3, k), B(k, 5) and P(k-1, 2)

Using distance formula =

⇒ PA = PB

On squaring both sides, we get

=

= 1 + 9

= 0

= 1, 5