R D Sharma Solutions for Chapter: Introduction to Three Dimensional Coordinate Geometry, Exercise 4: VERY SHORT ANSWER QUESTIONS (VSAQs)

If the distance of the point $P(2,3,5)$ from the $xy$ plane is $k$ units, then the value of $k$ is

If the coordinate of the foot of the perpendicular from the point $(1,2,3)$ on $y$-axis is $(a,b,c)$ then find the value of $a+b+c$.

Find the ratio in which the line segment joining the points $(2,4,5)$ and $(3 ,-5,4)$ is divided by the $yz$-plane.

Find the point on $y$-axis which is at a distance of $\sqrt{10}$ units from the point $(1,2,3)$.

Find the point on $x$-axis which is equidistant from the points $A(3,2,2)$ and $B(5,5,4)$.
 

Find the coordinates of a point equidistant from the origin and points $A(a,0,0), B (0,b,0)$and $C(0,0,c)$.
 

If a parallelopiped is formed by the planes drawn through the points $(2,3,5)$ and $(5,9,7)$ parallel to the coordinate planes, then the lengths of edges of the parallelopiped is $a, b \& c$ units and length of the diagonal is $d$ units, then find the value of $a+b+c+d$.

Determine the point on $yz$-plane which is equidistant from points $A(2,0,3), B(0,3,2)$ and $C(0,0,1)$.