Q. 185.0( 1 Vote )

Find the length of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 21 = 0.

Answer :

We know the distance of a point (x0, y0, z0) from a plane Ax + By + Cz + D=0 …………… (1) is



On comparing, the equation of the given plane i.e.


2x - 3y + 6z + 21=0 with equation (1) we get,


A=2, B= - 3, C=6, D=21.


Again, we know that, the co - ordinates of the origin are


(0, 0, 0).


So, the length of the perpendicular drawn from the origin is








=3


Hence, the length of the perpendicular drawn from the origin to the plane 2x–3y + 6z + 21=0 is = 3 units.


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