110
If the points A$(4, 5)$, B$(m, 6)$, C$(4, 3)$ and D$(1, n)$ taken in this order are the vertices of a parallelogram ABCD, then find the values of $m$ and $n$.
Show SolutionHide Solution↓
Sol. Coordinates of mid-point of AC = Coordinates of mid-point of BD (1 Mark)
frac{4+4}{2},
frac{5+3}{2}) = (
frac{1+m}{2},
frac{n+6}{2})$$\begin{aligned}& (1 Mark) \\ & m = 7\end{aligned}$$ (1/2 Mark)
n = 2$ (1/2 Mark)
frac{4+4}{2},
frac{5+3}{2}) = (
frac{1+m}{2},
frac{n+6}{2})$$\begin{aligned}& (1 Mark) \\ & m = 7\end{aligned}$$ (1/2 Mark)
n = 2$ (1/2 Mark)