Examine if the following is true statement.
The cube can cast a shadow in the shape of a rectangle.

Examine if the following is true statement.
The cube can cast a shadow in the shape of a hexagon.

State the following statement is True or False
Two distinct lines intersecting each other in a plane can have two points in common

Name three undefined terms.

State the following statement is True or False
If two distinct lines are intersecting each other in a plane then they cannot have more than one point in common.

Platonic solids are regular  Polyhedra.

The coordinate of any point, which lies in $xy$ plane , is

In three dimensions, the coordinate axes of a rectangular cartesian coordinate system are

Who gave the systematic development of analytical geometry for the first time?

An ordered triplet corresponds to ___________ in three dimensional space.

$(-1,-5,-7)$ lies in Octant

The number of dimension, a point has :

A cube of side 5 has one vertex at the point (1,0,-1), and the three edges from this vertex are, respectively, parallel to the negative x and y axes and positive  z-axis. Find the coordinates of the other vertices of the cube.

The graph of the equation $y^{2}+z^{2}=0$ in three dimensional space is

The points $(3,\ 2,\ 0),\ (5,\ 3,\ 2)$ and $(-9,\ 6,\ -3)$, are the vertices of a triangle $ABC.AD$ is the internal bisector of $\angle\ BAC$ which meets $BC$ at $D$. Then the co-ordinates of $D$, are

The points (-5,12), (-2,-3),(9,-10),(6,5) taken in order, form

If G is the centroid of $\triangle ABC$ and BC = 3, CA = 4, AB = 5 then BG =

If $( 3,4 )$ and $( 6,5 )$ are the extremities of a diagonal of a parallelogram and $( 2,1 )$ is is third vertex, then its fourth vertex is _______.

The foot of the perpendicular from the point $A(7, 14, 5)$ to the plane $2x+4y-z=2$ is?

In geometry, we take a point, a line and a plane as undefined terms.

Arrange the points: $\mathrm{A}(1,2-3), \mathrm{B}(-1,2,-3), \mathrm{C}(-1,-2-3)$ and $\mathrm{D}(1,-2, -3)$ in the increasing order of their octant numbers:

Graph $x^2+y^2=4$ in 3D looks like

The point $(0 , -2 , 5)$ lies on the

The coordinates of any point, which lies in $yz$ plane, are

An equation of sphere with centre at origin and radius $r$ can be represented as

The equation of plane passing through $(-1,0,-1)$ parallel to $xz$ plane is

The planes $2x-y+4z=5$ and $5x-2.5y+10z=6$ are

In a three-dimensional space, the equation $3x - 4y = 0$ represents.

The point $(3, 0, -4)$ lies on the

Which of the following is true for a plane?

There are three points with position vectors $ -2a+3b+5c, a+2b+3c $ and$ 7a-c$. What is the relation between the three points?

The coordinates of the point where the line through $(3, -4, -5)$ and $(2, -3, 1)$ crosses the plane passing through three points $(2, 2, 1),(3, 0, 1)$ and $(4, -1, 0)$ is