Question 1 :
Locus of a point $P$ which such that $PA = PB$ where $A = (0, 3, 2)$ and $B = (2, 4, 1)$ is
Question 2 :
The ratio in which the plane$\displaystyle \bar {r} .(\bar {i} - 2 \bar {j} + 3 \bar {k}) = 17$ divides the line joining the points$\displaystyle -2 \bar {i} + 4 \bar {j} + 7 \bar {k} $ and$\displaystyle 3 \bar {i} - 5 \bar {j} + 8 \bar {k}$ is
Question 3 :
In the $\Delta ABC$, if $AB=\sqrt{2}; AC=\sqrt{20}, B=(3,2,0)$ and $C=(0,1,4)$, then the length of the median passing through $A$ is<br/>
Question 4 :
A line passes through two point $A (2, -3, -1)$ and $B (8, -1, 2)$. The coordinates of a point on this line at a distance of $14$ units from $A$ are
Question 5 :
A cube of side <b>5</b> has one vertex at the point <b>(1,0,-1)</b>, 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.
Question 6 :
A hall has dimensions $24 m \times 8 m \times 6 m$. The length of the longest pole which can be accommodated in the hall is
Question 7 :
The area of triangle whose vertices are $(1, 2, 3), (2, 5, -1)$ and $(-1, 1, 2)$ is
Question 8 :
Perimeter of triangle whose vertices are $(0,4,0), (3,4,0)$ and $(0,4,4)$, is
Question 9 :
If $(1,-1,0),(-2,1,8)$ and $(-1,2,7)$ are three consecutive vertices of a parallelogram then the fourth vertex is<br/>
Question 10 :
The distance between the points $P(x,\,-1)$ and $Q(3,\,2)$ is $5$ units. Find the value of $x$.
Question 11 :
lf $OABC$ is a tetrahedron such thatthe $OA^{2}+BC^{2}=OB^{2}+CA^{2}=OC^{2}+AB^{2}$,then which of the following is/are correct
Question 12 :
Four vertices of a tetrahedron are $(0,0,0),(4,0,0),(0,-8,0)$ and $(0,0,12)$,Its centroid has the coordinates<br>
Question 13 :
The plane $ax+by+cz+d=0$ divides the line joining the points $\left( { x }_{ 1 },{ y }_{ 1 },{ z }_{ 1 } \right) $ and $\left( { x }_{ 2 },{ y }_{ 2 },{ z }_{ 2 } \right) $ in the ratio
Question 15 :
The locus of a point P which moves such that $PA^2-PB^2=2k^2$ where A and B are $(3, 4, 5)$ and $(-1, 3, -7)$ respectively is