Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

$\begin{array}{rl}& \text{ Dr’s of }\mathrm{AC}\Rightarrow 2\lambda ,3\lambda -2,4\lambda \\ & \text{ Dr’s of }\mathrm{BC}\Rightarrow \mu +2,2\mu +3,\mu -1\\ & \Rightarrow \frac{\mu +2}{2\lambda }=\frac{2\mu +3}{3\lambda -2}=\frac{\mu -1}{4\lambda }\\ & \Rightarrow 2(\mu +2)=\mu -1\Rightarrow \mu =-5\\ & \Rightarrow \text{ Dr’s of }\mathrm{BC}\Rightarrow 3,7,6\\ & \Rightarrow \text{ equation of }\mathrm{L}\Rightarrow \frac{\mathrm{x}-1}{3}=\frac{\mathrm{y}-1}{7}=\frac{\mathrm{z}-1}{6}\end{array}$
$(7,15,13)\text{ satisfies. }$