Hello students, we are providing assertion reason questions for class 11. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 11 maths. In this article, you will find assertion reason questions for CBSE Class 11 Maths Chapter 11 Introduction to Three Dimensional Geometry. It is a part of Assertion Reason Questions for CBSE Class 11 Maths Series.
| Chapter | Introduction to Three Dimensional Geometry |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 11 |
| Subject | Maths |
| Useful for | Class 11 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 11 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Introduction to Three Dimensional Geometry
Assertion Reason Questions
Directions:
Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Q1. Assertion (A): The coordinates of a point in 3D space are written in the form $(x, y, z)$.
Reason (R): A point in 3D is determined uniquely by its distance from the three coordinate planes.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q2. Assertion (A): The distance between points $A(1,2,3)$ and $B(4,6,8)$ is 5 units.
Reason (R): The distance formula in 3D is $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}$.
Answer: (c) Assertion is false, but Reason is true.
Difficulty Level: Tough
Q3. Assertion (A): The midpoint of the line joining $A\left(x_1, y_1, z_1\right)$ and $B\left(x_2, y_2, z_2\right)$ is
$$
\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}, \frac{z_1+z_2}{2}\right)
$$
Reason (R): The midpoint of a segment in space is the average of corresponding coordinates.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q4. Assertion (A): The coordinate axes in 3D are mutually perpendicular and intersect at the origin.
Reason (R): The origin is equidistant from the X, Y, and Z axes.
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Difficulty Level: Moderate
Q5. Assertion (A): If a point lies in the YZ-plane, then its x -coordinate is zero.
Reason (R): All points on the YZ-plane are of the form $(0, y, z)$.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Also check
- Probability Class 11 Assertion Reason Questions Maths Chapter 14
- Statistics Class 11 Assertion Reason Questions Maths Chapter 13
- Limits and Derivatives Class 11 Assertion Reason Questions Maths Chapter 12
- Introduction to Three Dimensional Geometry Class 11 Assertion Reason Questions Maths Chapter 11
- Conic Sections Class 11 Assertion Reason Questions Maths Chapter 10
- Straight Lines Class 11 Assertion Reason Questions Maths Chapter 9
- Sequences and Series Class 11 Assertion Reason Questions Maths Chapter 8
- Binomial Theorem Class 11 Assertion Reason Questions Maths Chapter 7
- Permutation and Combinations Class 11 Assertion Reason Questions Maths Chapter 6
- Linear Inequalities Class 11 Assertion Reason Questions Maths Chapter 5
- Complex Numbers and Quadratic Equations Class 11 Assertion Reason Questions Maths Chapter 4
- Trigonometric Functions Class 11 Assertion Reason Questions Maths Chapter 3
- Relations and Functions Class 11 Assertion Reason Questions Maths Chapter 2
- Sets Class 11 Assertion Reason Questions Maths Chapter 1
Topics from which assertion reason questions may be asked
- Coordinate System
- Distance and Section Formula
This extends geometry into spatial dimensions using coordinates.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Introduction to Three Dimensional Geometry Assertion Reason Questions Class 11
Q1: What does the chapter ‘Introduction to Three Dimensional Geometry’ cover?
A1: It introduces and builds core mathematical concepts related to introduction to three dimensional geometry.
Q2: What are assertion reason questions?
A2: These consist of an assertion and a reason. Students evaluate both statements and their relationship.
Q3: Why solve assertion reason questions from Introduction to Three Dimensional Geometry?
A3: They enhance understanding and critical thinking around the chapteru2019s key concepts.
Q4: Are these questions helpful for CBSE exams?
A4: Yes, they are competency-based and part of CBSEu2019s exam structure.
