The equation of the plane passing through the points $(2,3,1)$, $(4,-5,3)$ and parallel to $\mathrm{X}$-axis…

The equation of the plane passing through the points $(2,3,1)$, $(4,-5,3)$ and parallel to $\mathrm{X}$-axis is
  1. $3 y+4 z=13$
  2. $y-4 z=-1$
  3. $2 y+4 z=19$
  4. $y+4 z=7$

Solution

In all the options the planes are parallel to the $x$-axis but, only the plane given in option (D) is satisfied by the given point.

Asked in: MHT CET 2022 (06 Aug Shift 2)

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