Two of the vertices of $ riangle PQR$ are $P(-1, 5)$ and $Q(5, 2)$. The coordinates of a point which divides PQ in the ratio $2 : 1$ are:

Question

Two of the vertices of $	riangle PQR$ are $P(-1, 5)$ and $Q(5, 2)$. The coordinates of a point which divides PQ in the ratio $2 : 1$ are:

Accepted Answer

Step 1: Using section formula for ratio $2:1$: $x = \frac{2(5) + 1(-1)}{2+1} = \frac{9}{3} = 3$, $y = \frac{2(2) + 1(5)}{2+1} = \frac{9}{3} = 3$. Point $= (3, 3)$.

Question

Solution