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 9 Straight Lines. It is a part of Assertion Reason Questions for CBSE Class 11 Maths Series.
| Chapter | Straight Lines |
| 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 Straight Lines
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 slope of the line $3 x+4 y=7$ is $-\frac{3}{4}$.
Reason (R): The general form of the line $A x+B y+C=0$ has slope $\frac{A}{B}$.
Answer: (c) Assertion is true, but Reason is false.
Difficulty Level: Moderate
Q2. Assertion (A): The point $(2,-1)$ lies on the line $y=3 x-7$.
Reason $(R)$ : Substituting the point in the line equation does not satisfy it.
Answer: (d) Assertion is false, but Reason is true.
Difficulty Level: Moderate
Q3. Assertion (A): The lines $2 x+3 y=5$ and $4 x+6 y=9$ are parallel.
Reason (R): Lines are parallel if their slopes are equal.
Answer: (c) Assertion is false, but Reason is true.
Difficulty Level: Tough
Q4. Assertion (A): The angle $\theta$ between the lines with slopes $m_1$ and $m_2$ is given by
$$
\tan \theta=\left|\frac{m_1-m_2}{1+m_1 m_2}\right|
$$
Reason (R): This is derived from the tangent of the difference of two angles.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Tough
Q5. Assertion (A): The perpendicular distance from the origin to the line $3 x+4 y=12$ is 3 .
Reason (R): Distance from origin to line $A x+B y+C=0$ is given by
$$
\frac{|C|}{\sqrt{A^2+B^2}}
$$
Answer: (b) Both A and $R$ are true, but $R$ is not the correct explanation of $A$.
Difficulty Level: Tough
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
- Slope of a Line
- Various Forms of Line Equation
- Angle between Two Lines
Straight lines form the basis of analytical geometry.
Assertion reason questions from the above given topic may be asked.
Download Customised White Label Study Materials in MS Word Format
We are providing teaching resources to teachers and coaching institute looking for customised study materials in MS word format. Our High-quality editable study material which is prepared by the expert faculties are Highly useful for Teachers, Mentors, Tutors, Faculties, Coaching Institutes, Coaching Experts, Tuition Centers.
Frequently Asked Questions (FAQs) on Straight Lines Assertion Reason Questions Class 11
Q1: What does the chapter ‘Straight Lines’ cover?
A1: It introduces and builds core mathematical concepts related to straight lines.
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 Straight Lines?
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.
