The Cartesian equation of the lien passing through the points $\mathrm{A}$ $(2,2,1)$ and $B(1,3,0)$ is

The Cartesian equation of the lien passing through the points $\mathrm{A}$ $(2,2,1)$ and $B(1,3,0)$ is
  1. $\frac{\mathrm{x}+2}{1}=\frac{\mathrm{y}+2}{-1}=\frac{\mathrm{z}+1}{-1}$
  2. $\frac{\mathrm{x}-2}{-1}=\frac{\mathrm{y}-2}{1}=\frac{\mathrm{z}-1}{-1}$
  3. $\frac{x+2}{-1}=\frac{y+2}{1}=\frac{z+1}{-1}$
  4. None of these

Solution

The required Cartesian equation of line is $\frac{x-2}{1-2}=\frac{y-2}{3-2}=\frac{z-1}{0-1}$ i.e. $\frac{x-2}{-1}=\frac{y-2}{1}=\frac{z-1}{-1}$

Asked in: MHT CET 2021 (20 Sep Shift 2)

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