Test: Introduction to Three Dimensional Geometry- Case Based Type Questions

# Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Commerce

Test Description

## 10 Questions MCQ Test Mathematics (Maths) Class 11 - Test: Introduction to Three Dimensional Geometry- Case Based Type Questions

Test: Introduction to Three Dimensional Geometry- Case Based Type Questions for Commerce 2023 is part of Mathematics (Maths) Class 11 preparation. The Test: Introduction to Three Dimensional Geometry- Case Based Type Questions questions and answers have been prepared according to the Commerce exam syllabus.The Test: Introduction to Three Dimensional Geometry- Case Based Type Questions MCQs are made for Commerce 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions below.
Solutions of Test: Introduction to Three Dimensional Geometry- Case Based Type Questions questions in English are available as part of our Mathematics (Maths) Class 11 for Commerce & Test: Introduction to Three Dimensional Geometry- Case Based Type Questions solutions in Hindi for Mathematics (Maths) Class 11 course. Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free. Attempt Test: Introduction to Three Dimensional Geometry- Case Based Type Questions | 10 questions in 20 minutes | Mock test for Commerce preparation | Free important questions MCQ to study Mathematics (Maths) Class 11 for Commerce Exam | Download free PDF with solutions
 1 Crore+ students have signed up on EduRev. Have you?
Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 1

### ABCD is a parallelogram as shown in the figure. Three of its vertices are A(1, 2, 3), B(–1, –2, –1) and C(2, 3, 2).Based on the above data, answer the following question.Q. The fourth vertex D is ................

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 1
Let D = (x, y, z)

Midpoint of AC = Midpoint of BD

i.e;

∴ D = (4, 7, 6)

Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 2

### ABCD is a parallelogram as shown in the figure. Three of its vertices are A(1, 2, 3), B(–1, –2, –1) and C(2, 3, 2).Based on the above data, answer the following question.Q. Centroid of △BCD is ...............

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 2

B = (–1, –2, –1)

C = (2, 3, 2)

D = (4, 7, 6)

Centroid of △BCD =

=

Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 3

### ABCD is a parallelogram as shown in the figure. Three of its vertices are A(1, 2, 3), B(–1, –2, –1) and C(2, 3, 2).Based on the above data, answer the following question.Q. Length of AB is .............. units.

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 3

AB =

=

= √36

= 6 units

Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 4

ABCD is a parallelogram as shown in the figure. Three of its vertices are A(1, 2, 3), B(–1, –2, –1) and C(2, 3, 2).

Based on the above data, answer the following question.

Q. Length of BD is ........... units.

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 4
B = (–1, –2, –1), D = (4, 7, 6)

BD =

=

= √155

Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 5

ABCD is a parallelogram as shown in the figure. Three of its vertices are A(1, 2, 3), B(–1, –2, –1) and C(2, 3, 2).

Based on the above data, answer the following question.

Q. Midpoint of AC is ...............

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 5

Midpoint of AC =

=

Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 6

P is the point in space with coordinates (2,3,4) as shown in the diagram given below.

Based on the above data, answer the following question.

Q. Distance of P from the XZ plane is ............ units.

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 6
Distance from XZ plane = |y| = 3 units
Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 7

P is the point in space with coordinates (2,3,4) as shown in the diagram given below.

Based on the above data, answer the following question.

Q. Midpoint of OP is ............

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 7

Midpoint of OP =

=

Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 8

P is the point in space with coordinates (2,3,4) as shown in the diagram given below.

Based on the above data, answer the following question.

Q. Distance of P from x-axis is .......... units

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 8

Distance from x-axis =

Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 9

P is the point in space with coordinates (2,3,4) as shown in the diagram given below.

Based on the above data, answer the following question.

Q. Foot of the perpendicular from P to the x-axis is ..............

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 9
Foot of perpendicular to x-axis = (x, 0, 0) = (2, 0, 0)
Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 10

P is the point in space with coordinates (2,3,4) as shown in the diagram given below.

Based on the above data, answer the following question.

Q. The point P is in .............. octant.

Detailed Solution for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions - Question 10
The point P is in I octant.

## Mathematics (Maths) Class 11

157 videos|210 docs|132 tests
Information about Test: Introduction to Three Dimensional Geometry- Case Based Type Questions Page
In this test you can find the Exam questions for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Introduction to Three Dimensional Geometry- Case Based Type Questions, EduRev gives you an ample number of Online tests for practice

## Mathematics (Maths) Class 11

157 videos|210 docs|132 tests