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

Here we are providing assertion reason questions for class 9 maths. In this article, we are covering assertion reason questions for class 9 Maths Chapter 4 Linear Equations in Two Variables. Solutions are also provided. Students are suggested to solve the questions by themselves. After completing all questions, refer to answers and solutions for better understanding.

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

Directions: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(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.

Q.1. Assertion : There are infinite number of lines which passes through (3, 2).
Reason: A linear equation in two variables has infinitely many solutions.

Answer

Answer: (b)
We know that a linear equation in two variables has infinitely many solutions. So, Reason is correct.
Through a point infinite lines can be drawn.
Through (3, 2) infinite number of lines can be drawn.
Hence, Assertion is also correct.
But reason (R) is not the correct explanation of assertion (A).
Correct option is (b)

Q.2. Assertion : If x = 2, y = 1 is a solution of the equation 2x + 3y = k, then the value of k is 7.
Reason: The solution of the line will satisfy the equation of the line.

Answer

Answer: (a)
We know that the solution of the line will satisfy the equation of the line.
So, Reason is correct.
Since x = 2, y =1 is a solution of the given linear equation, we have
2×2 + 3×1 – k = 0 = 4+3 – K= 0 = K =7.
So, Assertion is also correct.
Correct option is (a)
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Q.3. Assertion : If x = 2k – 1 and y = k is a solution of the equation 3x – 5y – 7 = 0, then the value of k is 10.
Reason: A linear equation in two variables has infinitely many solutions

Answer

Answer: (b)

Q.4. Assertion: x + y = 3 is the equation of a line passing through the origin.
Reason: y = 2x is the equation of a line passing through the origin.

Answer

Answer: (d)

Q.5. Assertion: X = 3 and y = 2 is a solution of the linear equation 2x + 3y = 12.
Reason: X = 4 and y = 2 is a solution of the linear equation x + 3y = 10.

Answer

Answer: (b)

Q.6. Assertion : The point (3, 0) lies on the graph of the linear equation 4x + 3y = 12.
Reason: (3, 0) satisfies the equation 4x + 3y = 12.

Answer

Answer: (a)

Q.7. Assertion : A linear equation 3x + 5y = 2 has a unique solution.
Reason: A linear equation in two variables has infinitely many solutions.

Answer

Answer: (d)
We know that a linear equation in two variables has infinitely many solutions.
So, Reason is correct.
Hence, Assertion is not correct
Correct option is (d) Assertion (A) is false but reason (R) is true.

Q.8. Assertion : The graph of the linear equation 2x – y = 1 passes through the point (2, 3).
Reason: Every point lying on graph is not a solution of 2x – y = 1.

Answer

Answer: (c)

Q.9. Assertion: y = 3x represents a line passing through the origin.
Reason: Any line parallel to the x-axis is y = a.

Answer

Answer: (b)

Q.10. Assertion : The point (2, 2) is the solution of x + y = 4.
Reason: Every point which satisfy the linear equation is a solution of the equation

Answer

Answer: (a)

Q.11. Assertion: X = 2 is a line parallel to the y-axis.
Reason: The equation of a line parallel to the y-axis is x = a.

Answer

Answer: (a)

What are Assertion Reason Questions?

Certainly, Assertion Reason questions are a specific kind of questions often found in tests, especially in subjects like science and logic. In these questions, there are two statements: one is the Assertion (a statement) and the other is the Reason (an explanation). Your job is to see how these two statements relate to each other and decide if they are both correct or not.

Here’s a breakdown of the structure of an Assertion Reason question:

Assertion: The Assertion is a statement presented as a fact or claim. It may be true or false, and it is typically written in a straightforward manner.
Reason: The Reason is a statement that provides an explanation or justification for the Assertion. It can support or challenge the Assertion, depending on the accuracy of the Reasoning provided.
Options: Multiple options are typically provided alongside the Assertion Reason pair. The test-taker must choose the correct option that reflects the logical relationship between the Assertion and the Reason.

The possible options typically include:

a) If both the Assertion and the Reason are true, and the Reason is a correct explanation of the Assertion.

b) If both the Assertion and the Reason are true, but the Reason is not a correct explanation of the Assertion.

c) If the Assertion is true, but the Reason is false.

d) If the Assertion is false, but the Reason is true.

e) If both the Assertion and the Reason are false.

To answer Assertion Reason questions correctly, the test-taker needs to analyze the accuracy and logical connection between the two statements. It requires critical thinking, reasoning abilities, and a thorough understanding of the subject matter.

It is important to note that Assertion Reason questions can be challenging, as the test-taker needs to evaluate both statements independently and then determine the relationship between them. Careful reading, logical reasoning, and knowledge of the subject are essential for accurately answering such questions.

Preparation Tips to Score More in Assertion Reason Questions for Class 9 Maths

Assertion-reasoning questions can be daunting for CBSE students as they demand a deeper grasp and analytical thinking compared to regular multiple-choice queries. Such questions have two parts: an assertion and a reason. Students must decide if both are true and if the reason supports the assertion.

These questions go beyond rote knowledge, needing understanding of connections between facts. Fear might arise if students lack confidence in analyzing and judging the data. Also, their significant marks can intensify exam pressure.

However, with practice and a solid understanding of the concepts, students can overcome their fear of assertion-reasoning questions and perform well on their exams. It is important for students to read the questions carefully, understand the meaning of each statement, and analyze the relationship between the two statements before selecting their answer.

Preparing for assertion-reasoning questions can be challenging, but by adopting effective strategies, you can enhance your abilities and excel in exams. Here’s how you can prepare:

Understand the Concepts
Practice Regularly
Develop Analytical Skills
Take Notes
Seek Help

By following these strategies and putting in the effort to practice, you can improve your skills and perform well on assertion-reasoning questions.

Frequently Asked Questions (FAQs)

What is linear equation in two variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b and c are real numbers. The coefficients of x and y should not be zero.
For example, 5x+y = 4 and -x+2y = 5 are linear equations in two variables.

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

Frequently Asked Questions (FAQs)

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