R D Sharma Solutions for Chapter: Introduction to Three Dimensional Coordinate Geometry, Exercise 2: EXERCISE 28.2

Determine the point on $z-$axis which is equidistant from the points $(1,5,7)$ and $(5,1,-4)$

Find the point on $y-$axis which is equidistant from the points $(3,1,2)$ and $(5,5,2)$.

Find the coordinates of the point which is equidistant from the four points $O(0, 0, 0) A(2, 0, 0), B(0, 3, 0)$ and $C(0, 0, 8)$

If $A(-2, 2, 3)$ and $B(13, -3, 13)$ are two points. Find the locus of a point $P$ which moves in such a way that $3 PA=2 PB$

Find the locus of $P$ if $P{A}^2+P{B}^2=2k^2$, where $A$ and $B$ are the points $(3, 4, 5)$ and $(-1, 3, -7)$

Find the locus of the points which are equidistant from the points $(1,2,3)$ and$(3,2,-1)$.

Find the locus of the point, the sum of whose distances from the points $A (4,0,0)$ and $B (-4,0,0)$ is equal to $10$

Find the equation of the set of the points $P$ such that its distances from the points $A (3,4,-5)$ and $B (-2,1,4)$ are equal.