Mathematics, 02.12.2019 02:31 kookharakura
How do i find the coordinates of the point p that lies along the directed segment from c(-3,-2) to d(6,1) and partitions the segment in the ratio 2 to 1?
Answers: 3
![\bf \textit{internal division of a line segment using ratios} \\\\\\ C(-3,-2)\qquad D(6,1)\qquad \qquad \stackrel{\textit{ratio from C to D}}{2:1} \\\\\\ \cfrac{C\underline{P}}{\underline{P} D} = \cfrac{2}{1}\implies \cfrac{C}{D} = \cfrac{2}{1}\implies 1C=2D\implies 1(-3,-2)=2(6,1)\\\\[-0.35em] ~\dotfill\\\\ P=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] ~\dotfill](/tpl/images/0398/7566/0ba32.png)
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How do i find the coordinates of the point p that lies along the directed segment from c(-3,-2) to d...
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