Question

If the sum of the squares of the distance of a point from the coordinates axes be $36$, then its distance from the origin is_______

• A. $6$
• B. $3\sqrt{2}$
• C. $\sqrt{21}$
• D. $3\sqrt{3}$

Answer 1

The correct option is A $6$

Sum of squares of distance from axes $=36.$

$x^2+y^2+z^2=36$

$\Rightarrow$ distance from origin

$\Rightarrow (x-0{)}^2+(y-0{)}^2+(z-0{)}^2=(6{)}^2$

$\Rightarrow$ distance $=6$