The Cartesian equation of the line which passes through the points $(3,1,2)$ and $(-1,2,1)$ is

The Cartesian equation of the line which passes through the points $(3,1,2)$ and $(-1,2,1)$ is
  1. $\frac{x-3}{-4}=\frac{y-1}{1}=\frac{z-2}{1}$
  2. $\frac{x-3}{-4}=\frac{y-1}{1}=\frac{z-2}{-1}$
  3. $\frac{x-3}{-4}=\frac{y-1}{-1}=\frac{z-2}{-1}$
  4. $\frac{x-3}{-4}=\frac{y-1}{-1}=\frac{z-2}{1}$

Solution

The required equation of the line is $\begin{aligned} & \frac{x-3}{-1-3}=\frac{y-1}{2-1}=\frac{z-2}{1-2} \\ & \Rightarrow \frac{x-3}{-4}=\frac{y-1}{1}=\frac{z-2}{-1}\end{aligned}$

Asked in: MHT CET 2022 (10 Aug Shift 1)

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