Q66 / 150 · MHT CET 2024 (11 May Shift 1) · Mathematics

The perpendicular distance of the origin from the plane $2 x+y-2 z-18=0$ is

A
18 units
B
9 units
Correct answer
C
6 units
D
4 units

Solution

$\begin{aligned} \text { Required distance } & =\left|\frac{2(0)+(0)-2(0)-18}{\sqrt{4+1+4}}\right| \\ & =6 \text { units }\end{aligned}$

Hence, the correct answer is option: 'C'.

Relevant Questions

A plane meets the co-ordinate axes in A, B, C such that the centroid of the triangle ABC is the point , then the equation of the plane is,20 Apr, 2026 (M)Plane in Space
If the perpendicular distance of the plane passing through the point and containing the line from origin is then ...20 Apr, 2026 (E)Plane in Space
The plane cuts the axes at the points A, B, C then the area of triangle ABC is19 Apr, 2026 (M)Plane in Space
Let is the equation of a plane and the line having direction ratios is parallel to the plane, then the value of b is...19 Apr, 2026 (E)Plane in Space
The perpendicular distance from the origin to the plane containing the points and is...(in units)19 Apr, 2026 (E)Plane in Space
If the plane cuts coordinate axes at A, B and C, then the volume of tetrahedron OABC (where O is the origin) is ......cubic units.18 Apr, 2026 (M)Plane in Space