Question

State the following statement is True or False

Distance of the point $P(x,y,z)$ from the plane $XY$ is $\sqrt{x^2+y^2+z^2}$

• A. True
• B. False

Answer 1

The correct option is B False

Co-ordinates of plane $XY$ is $(0,0,z)$, since $Z$ is not included.

$\therefore$ distance of pt $P(x,y,z)$ from xy plane $(0,0,z)$ is given by

$\sqrt{{(x-0)}^2+{(y-0)}^2+{(z-z)}^2}$

$=\sqrt{x^2+y^2}$

$\therefore$ The given statement is FALSE.