Question:
In the given figure P(5, −3) and Q(3, y) are the points of trisection of the line segment
joining A(7, −2) and B(1, −5). Then, y equals
(a) 2
(b) 4
(c) $-4$
(d) $\frac{-5}{2}$
Solution:
Here, AQ : BQ = 2 : 1. Then
$y=\frac{2 \times(-5)+1 \times(-2)}{2+1}$
$=\frac{-10-2}{3}$
$=-4$
Hence, the correct answer is option (c).