Linear Equations in Two Variables Class 9 Assertion Reason Questions Maths Chapter 4

Q: Q4: What strategies should students use to answer assertion reason questions effectively?

A4: Students can use the following strategies: Understand Each Statement Separately: Determine if each statement is true or false independently. Analyze the Relationship: If both statements are true, check if the reason correctly explains the assertion.

Q: Q6: What is a linear equation in two variables?

A6: An equation of the form ax + by + c = 0 , where a, b and c are real numbers such that a and b are not both zero.

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Last Updated on November 12, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 9 maths. 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 9 maths. In this article, you will find assertion reason questions for CBSE Class 9 Maths Chapter 4 Linear Equations in Two Variables. It is a part of Assertion Reason Questions for CBSE Class 9 Maths Series.

Chapter	Linear Equations in Two Variables
Type of Questions	Assertion Reason Questions
Nature of Questions	Competency Based Questions
Board	CBSE
Class	9
Subject	Maths
Useful for	Class 9 Studying Students
Answers provided	Yes
Difficulty level	Mentioned
Important Link	Class 9 Maths Chapterwise Assertion Reason

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Table of Contents

Assertion Reason Questions on Linear Equations in Two Variables

Directions:

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.

Questions:

Q. 1. Assertion (A): The linear equation 2x + 3y = 5 has a unique solution.
Reason (R): A linear equation in two variables has infinitely many solutions.

Q. 2. Assertion (A): y = 3 is a line, which is 3 units distance from X-axis.
Reason (R): X = h is a line, which is h unit distance from Y-axis.

Q. 3. Assertion (A): The linear equation 3x – 2y = 4 passes through the point (3, 4).
Reason (R): Every point lying on the line is a solution of the equation 3x – 2y = 4.

Solutions:

1. (d) Assertion (A): A linear equation 2x + 3y = 5 has not a unique solution. i.e. It has infinitely many solutions.
So, Assertion (A) is false.
Reason (R): It is true to say that the linear equation in two variables has infinitely many solutions.
Hence, Assertion (A) is false but Reason (R) is true.

2. (b) Assertion (A): It is true that, y = 3 is a line, which is 3 units distance from X-axis in the positive direction of Y-axis.
Reason (R): It is true that X = h is a line, which is h unit distance from Y-axis.
Hence, both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).

3. (d) Assertion (A): Put x = 3 and y = 4 in the left-hand side of the given equation.
Therefore, LHS = 3(3) – 2(4) = 9 – 8 = 1 ≠ RHS
So, Assertion (A) is false.
Reason (R): It is true to say that every point lying on the line is a solution of the equation 3x – 2y = 4.
Hence, Assertion (A) is false but Reason (R) is true.

Understanding Linear Equations in Two Variables

Linear Equation: An algebraic equation in which the highest degree term is of first degree and whose graph is a straight line.
Linear Equation in One Variable: An equation of the form ax + b = 0, where a and b are real numbers such that a≠0 and x is a variable.
Linear Equation in Two Variables: An equation of the form ax + by + c = 0, where a, b and c are real numbers such that a and b are not both zero.

Also check

Topics from which assertion reason questions may be asked

Linear Equation in Two Variables
Solutions of Linear Equations

A linear equation in two variables has infinitely many solutions.

Assertion reason questions from the above given topic may be asked.

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Frequently Asked Questions (FAQs) on Linear Equations in Two Variables Assertion Reason Questions Class 9

Q1: What are assertion reason questions?

A1: Assertion-reason questions consist of two statements: an assertion (A) and a reason (R). The task is to determine the correctness of both statements and the relationship between them. The options usually include:
(i) Both A and R are true, and R is the correct explanation of A.
(ii) Both A and R are true, but R is not the correct explanation of A.
(iii) A is true, but R is false.
(iv) A is false, but R is true. or A is false, and R is also false.

Q2: Why are assertion reason questions important in Maths?

A2: Students need to evaluate the logical relationship between the assertion and the reason. This practice strengthens their logical reasoning skills, which are essential in mathematics and other areas of study.

Q3: How can practicing assertion reason questions help students?

A3: Practicing assertion-reason questions can help students in several ways:
Improved Conceptual Understanding: It helps students to better understand the concepts by linking assertions with their reasons.
Enhanced Analytical Skills: It enhances analytical skills as students need to critically analyze the statements and their relationships.
Better Exam Preparation: These questions are asked in exams and practicing them can improve your performance.

Q4: What strategies should students use to answer assertion reason questions effectively?

A4: Students can use the following strategies:
Understand Each Statement Separately: Determine if each statement is true or false independently.
Analyze the Relationship: If both statements are true, check if the reason correctly explains the assertion.

Q5: What are common mistakes to avoid when answering Assertion Reason questions?

A5: Common mistakes include:
Not reading the statements carefully and missing key details.
Assuming the Reason explains the Assertion without checking the logical connection.
Confusing the order or relationship between the statements.
Overthinking and adding information not provided in the question.

Q6: What is a linear equation in two variables?

A6: An equation of the form ax + by + c = 0, where a, b and c are real numbers such that a and b are not both zero.

Q7: How can a linear equation in two variables be represented graphically?

A7: A linear equation in two variables can be represented graphically by plotting its solutions as points on a Cartesian plane and then joining these points to form a straight line.

Q8: What does the solution of a linear equation in two variables represent?

A8: The solution of a linear equation in two variables represents the coordinates (x, y) of any point that lies on the line represented by the equation. Every point on the line satisfies the equation.

Q9: How can we find the solution of a linear equation in two variables?

A9: To find the solution of a linear equation in two variables, choose a value for one variable (either x or y) and substitute it into the equation to solve for the other variable. This will give you a pair of values (x, y) that satisfies the equation.

Q10: Are there any online resources or tools available for practicing Linear Equations in Two Variables assertion reason questions?

A10: We provide assertion reason questions for CBSE Class 9 Maths on our website. Students can visit the website and practice sufficient assertion reason questions and prepare for their exams. If you need more assertion reason questions, then you can visit Physics Gurukul website. they are having a large collection of assertion reason questions for all classes.