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Tes: Introduction To 3D Geometry - Commerce MCQ


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10 Questions MCQ Test - Tes: Introduction To 3D Geometry

Tes: Introduction To 3D Geometry for Commerce 2024 is part of Commerce preparation. The Tes: Introduction To 3D Geometry questions and answers have been prepared according to the Commerce exam syllabus.The Tes: Introduction To 3D Geometry MCQs are made for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Tes: Introduction To 3D Geometry below.
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Tes: Introduction To 3D Geometry - Question 1

The point (2, – 2, 3) lies in

Detailed Solution for Tes: Introduction To 3D Geometry - Question 1

In the 3D, fourth quadrant has x positive, y negative and z positive.

Tes: Introduction To 3D Geometry - Question 2

The image of (–2, 3, 4) in the yz -plane is:

Detailed Solution for Tes: Introduction To 3D Geometry - Question 2

The image of(-2,3,4) reflects in the 1st quadrant. As we know that in 1st quadrant all the x,y and z are positive 
So the resultant will be : (2,3,4)

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Tes: Introduction To 3D Geometry - Question 3

The X-axis and Y-axis taken together determine a plane known as ……

Detailed Solution for Tes: Introduction To 3D Geometry - Question 3

The x-axis and y-axis taken together determine a plane known as XY-plane.

Tes: Introduction To 3D Geometry - Question 4

The point (­1, – 2, – 3) lies in

Detailed Solution for Tes: Introduction To 3D Geometry - Question 4

The eight octants can be divided into 2 parts.
Positive direction of Z-axis and negative direction of Z-axis.
Thus we have 2 sets of co-ordinates:
(+, +, +) ; (+, -, +) ; (-, +, +) ; (-, -, +)
(+, +, -) ; (+, -, -) ; (-, +, -) ;  (-, -, -)
Therefore, the points (1,-2,-3) lies in 8th octant.

Tes: Introduction To 3D Geometry - Question 5

A point is on the X-axis, its y-coordinate and z-coordinates are:

Detailed Solution for Tes: Introduction To 3D Geometry - Question 5

If a point is on the x-axis, then its y-coordinates and z-coordinates are zero.

Tes: Introduction To 3D Geometry - Question 6

A point has coordinates (0,-3,0), So it lies on the

Detailed Solution for Tes: Introduction To 3D Geometry - Question 6
As we know coordinate of any point is (x,y,z) . that's why according to question , (x=0 ,y = -3 ,z=0 ) . so it lies on y axis.
Tes: Introduction To 3D Geometry - Question 7

In which plane does the point (-3, -6, 0) lie?

Detailed Solution for Tes: Introduction To 3D Geometry - Question 7

In this question, the ��-coordinate is negative three, the ��-coordinate is negative six, and the ��-coordinate is zero. As �� is equal to zero, the point will not move in the direction of the ��-axis. We can therefore conclude that as �� is equal to zero, the point will lie on the ����-plane. If our ��-coordinate was equal to zero but �� and �� had a positive or negative value, the point would lie in the ����-plane.

Tes: Introduction To 3D Geometry - Question 8

Three dimensional coordinate planes divide the space into …… octants.

Detailed Solution for Tes: Introduction To 3D Geometry - Question 8

The point O is called the origin of the coordinate system. The three coordinate planes divide the space into eight parts known as octants. These octants could be named as XOYZ, X′OYZ, X′OY′Z, XOY′Z, XOYZ′, X′OYZ′, X′OY′Z′ and XOY′Z′.

Tes: Introduction To 3D Geometry - Question 9

The image of point (5, 2, – 7) in XY plane is:

Detailed Solution for Tes: Introduction To 3D Geometry - Question 9

Given: Point is (5, 2, -7)
To find: the image of the point in xy-plane

Since we need to find its image in xy-plane, a sign of its z-coordinate will change
So, Image of point (5, 2, -7) is (5, 2, 7)

Tes: Introduction To 3D Geometry - Question 10

L is a foot of the perpendicular drawn from the point P (3,4,5) on x axis. The coordinates of point L are:

Detailed Solution for Tes: Introduction To 3D Geometry - Question 10

L is the foot of the perpendicular from (3, 4, 5) to the X-axis. It will have Y and Z- coordinate as 0.
L (3, 0, 0)

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