MCQ
Find the coordinates of the point which divides the line segment joining the points $(3,-3)$ and $(8,4)$ in the ratio $2: 1$ internally.
- A$(-1,2)$
- B$(3,-6)$
- C$(-2,1)$
- ✓None of these
✓
Answer
Correct option: D.
None of these
(d) : Let $R(x, y)$ divides the join of $P(3,-3)$ and $Q(8,4)$ in the ratio $2: 1$ internally.
$
\therefore \quad x=\frac{2(8)+1(3)}{2+1}=\frac{16+3}{3}=\frac{19}{3}
$
and $y=\frac{2(4)+1(-3)}{2+1}=\frac{8-3}{3}=\frac{5}{3}$
Thus, the coordinates of $R$ are $\left(\frac{19}{3}, \frac{5}{3}\right)$.
$
\therefore \quad x=\frac{2(8)+1(3)}{2+1}=\frac{16+3}{3}=\frac{19}{3}
$
and $y=\frac{2(4)+1(-3)}{2+1}=\frac{8-3}{3}=\frac{5}{3}$
Thus, the coordinates of $R$ are $\left(\frac{19}{3}, \frac{5}{3}\right)$.
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