Tes: Introduction To 3D Geometry


10 Questions MCQ Test Mathematics For JEE | Tes: Introduction To 3D Geometry


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This mock test of Tes: Introduction To 3D Geometry for JEE helps you for every JEE entrance exam. This contains 10 Multiple Choice Questions for JEE Tes: Introduction To 3D Geometry (mcq) to study with solutions a complete question bank. The solved questions answers in this Tes: Introduction To 3D Geometry quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Tes: Introduction To 3D Geometry exercise for a better result in the exam. You can find other Tes: Introduction To 3D Geometry extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

The point (2, – 2, 3) lies in

Solution:

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

QUESTION: 2

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

Solution:

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)

QUESTION: 3

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

Solution:

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

QUESTION: 4

The point (­1, – 2, – 3) lies in

Solution:

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.

QUESTION: 5

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

Solution:

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

QUESTION: 6

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

Solution: 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.
QUESTION: 7

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

Solution:

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.

QUESTION: 8

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

Solution:

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′.

QUESTION: 9

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

Solution:

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)

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:

Solution:

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)