Mathematics Online Test for Class 11 on “Three Dimensional Geometry – Coordinates of a Point in Space”.
1. The point (4, 0, 0) lie on _____________
a) X-axis
b) Y-axis
c) Z-axis
d) Y-Z plane
Answer: a
Clarification: In 3d coordinate system, a point with y and z coordinate zero and x-coordinate having non-zero value must lie on x-axis. So, (4, 0, 0) lie on x-axis.
2. The point (0, 0, 3) lie on ____________
a) X-axis
b) Y-axis
c) Z-axis
d) X-Y plane
Answer: c
Clarification: In 3d coordinate system, a point with x and y coordinate zero and z-coordinate having non-zero value must lie on z-axis. So, (0, 0, 3) lie on z-axis.
3. The point (0, 2, 0) lie on _________
a) X-axis
b) Y-axis
c) Z-axis
d) X-Y plane
Answer: b
Clarification: In 3d coordinate system, a point with x and z coordinate zero and y-coordinate having non-zero value must lie on y-axis. So, (0, 2, 0) lie on y-axis.
4. The point (0, 2, 4) lie on _________
a) X-Y plane
b) Y-Z plane
c) X-Z plane
d) X-axis
Answer: b
Clarification: In 3d coordinate system, a point with x-coordinate zero and y & z coordinate having non-zero value must lie on Y-Z plane. So, (0, 2, 4) lie on Y-Z plane.
5. The point (4, 2, 0) lie on _________
a) X-Y plane
b) Y-Z plane
c) X-Z plane
d) X-axis
Answer: a
Clarification: In 3d coordinate system, a point with z-coordinate zero and x & y coordinate having non-zero value must lie on X-Y plane. So, (4, 2, 0) lie on X-Y plane.
6. The point (3, 0, 4) lie on _________
a) X-Y plane
b) Y-Z plane
c) X-Z plane
d) X-axis
Answer: c
Clarification: In 3d coordinate system, a point with y-coordinate zero and x & z coordinate having non-zero value must lie on X-Z plane. So, (3, 0, 4) lie on X-Z plane.
7. Find the distance of point (2, 3, 5) from X-Y plane.
a) 2 units
b) 3 units
c) 5 units
d) 1 unit
Answer: c
Clarification: We know, distance of a point from X-Y plane is equal to the value of its z-coordinate.
So, distance of point (2, 3, 5) from X-Y plane is 5 units.
8. Find the distance of point (2, 3, 5) from Y-Z plane.
a) 2 units
b) 3 units
c) 5 units
d) 1 unit
Answer: a
Clarification: We know, distance of a point from Y-Z plane is equal to the value of its x-coordinate.
So, distance of point (2, 3, 5) from Y-Z plane is 2 units.
9. Find the distance of point (2, 3, 5) from X-Z plane.
a) 2 units
b) 3 units
c) 5 units
d) 1 unit
Answer: b
Clarification: We know, distance of a point from X-Z plane is equal to the value of its y-coordinate.
So, distance of point (2, 3, 5) from X-Z plane is 3 units.
10. 2-D geometry has ______________ quadrants.
a) 1
b) 2
c) 4
d) 8
Answer: c
Clarification: 2-D geometry can have 2 coordinates each with positive or negative value.
Total quadrants = 2*2 = 4.
11. 3-D geometry has ______________ octants.
a) 1
b) 2
c) 4
d) 8
Answer: d
Clarification: 3-D geometry can have 3 coordinates each with positive or negative value.
Total octants = 2*2*2 = 8.
12. In which octant does the point (1, 5, 7) lies?
a) 1st
b) 2nd
c) 6th
d) 7th
Answer: a
Clarification: Since the point with all positive coordinates i.e. of the form (+, +, +) so lie in 1st octant.
So, (1, 5, 7) lies in 1st octant.
13. In which octant does the point (-1, – 5, -7) lies?
a) 1st
b) 2nd
c) 6th
d) 7th
Answer: d
Clarification: Since the point with all negative coordinates i.e. of the form (-, -, -) lie in 7th octant.
So, (-1, – 5, -7) lies in 7th octant.
14. In which octant does the point (-1, 5, 7) lies?
a) 1st
b) 2nd
c) 6th
d) 7th
Answer: b
Clarification: Since the point with only x coordinate negative i.e. of the form (-, +, +) lie in 2nd octant.
So, (-1, 5, 7) lies in 2nd octant.
15. In which octant does the point (-1, 5, -7) lies?
a) 1st
b) 2nd
c) 6th
d) 7th
Answer: c
Clarification: Since the point with only y coordinate positive i.e. of the form (-, +, -) lie in 6th octant.
So, (-1, 5, -7) lies in 6th octant.