If the line through the points $(-2,6)$ and $(4,8)$ is perpendicular to the line passing through the points $(8,12)$ and $(x, 24)$, then the value of $x$ is

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Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{m}_1 	imes \mathrm{m}_2=-1 \Rightarrow \frac{8-6}{4+2}=\frac{24-12}{\mathrm{x}-8} \ & \Rightarrow \frac{2}{6} 	imes \frac{12}{\mathrm{x}-8}=-1 \ & \Rightarrow 4=-\mathrm{x}+8 \ & \Rightarrow \mathrm{x}=4\end{aligned}$

If the line through the points $(-2,6)$ and $(4,8)$ is perpendicular to the line passing through the points…

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