Question

PQ is straight line of 13 units. If P has coordinate (2, 5) and Q has coordinate (x, – 7) find the possible values of x.

Answer 1

Here PQ = 13
PQ² = 13²
∴ (x - 2)² + (-7 - 5)² = 169
⇒ (x - 2)² = 169 - 144
= 25 = 5²
or
(x - 2) = ± 5
⇒ x = 7 or -3.