Mathematics Questions and Answers – Three Dimensional Geometry – Coordinates of a Point in Space

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This set of Mathematics Online Test for Class 11 focuses 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
View Answer

Answer: a
Explanation: 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.
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2. The point (0, 0, 3) lie on ____________
a) X-axis
b) Y-axis
c) Z-axis
d) X-Y plane
View Answer

Answer: c
Explanation: 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
View Answer

Answer: b
Explanation: 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.
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4. The point (0, 2, 4) lie on _________
a) X-Y plane
b) Y-Z plane
c) X-Z plane
d) X-axis
View Answer

Answer: b
Explanation: 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
View Answer

Answer: a
Explanation: 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.
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6. The point (3, 0, 4) lie on _________
a) X-Y plane
b) Y-Z plane
c) X-Z plane
d) X-axis
View Answer

Answer: c
Explanation: 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
View Answer

Answer: c
Explanation: 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.
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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
View Answer

Answer: a
Explanation: 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
View Answer

Answer: b
Explanation: 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.
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10. 2-D geometry has ______________ quadrants.
a) 1
b) 2
c) 4
d) 8
View Answer

Answer: c
Explanation: 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
View Answer

Answer: d
Explanation: 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
View Answer

Answer: a
Explanation: 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
View Answer

Answer: d
Explanation: 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
View Answer

Answer: b
Explanation: 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
View Answer

Answer: c
Explanation: 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.

Sanfoundry Global Education & Learning Series – Mathematics – Class 11.

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