21
Subjective
What are the coordinates of the vertices of a cube whose edge is 2 units, one of whose vertices coincides with the origin and the three edges passing through the origin, coincides with the positive direction of the axes through the origin?
Explanation
The coordinates of the cube which edge is 2 units, are $(2,0,0),(2,2,0),(0,2,0)$, $(0,2,2),(0,0,2),(2,0,2),(0,0,0)$ and $(2,2,2)$.
22
MCQ (Single Correct Answer)
The distance of point $P(3,4,5)$ from the $Y Z$-plane is
A
3 units
B
4 units
C
5 units
D
550
23
MCQ (Single Correct Answer)
What is the length of foot of perpendicular drawn from the point $P$ $(3,4,5)$ on $Y$-axis?
A
$\sqrt{41}$
B
$\sqrt{34}$
C
5
D
None of these
24
MCQ (Single Correct Answer)
Distance of the point $(3,4,5)$ from the origin $(0,0,0)$ is
A
$\sqrt{50}$
B
3
C
4
D
5
25
MCQ (Single Correct Answer)
If the distance between the points $(a, 0,1)$ and $(0,1,2)$ is $\sqrt{27}$, ther the value of $a$ is
A
5
B
$\pm 5$
C
$-5$
D
None of these