All Courses
Get the App Signup / Login
Sign in Open App
Class 9 Exam  >  Class 9 Tests  >  Class 9: Additional Practice  >  Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Class 9 MCQ

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Class 9 MCQ


Test Description

10 Questions MCQ Test Class 9: Additional Practice - Test: Linear Equations in Two Variables- Assertion & Reason Type Questions

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions for Class 9 2024 is part of Class 9: Additional Practice preparation. The Test: Linear Equations in Two Variables- Assertion & Reason Type Questions questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Linear Equations in Two Variables- Assertion & Reason Type Questions MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions below.
Solutions of Test: Linear Equations in Two Variables- Assertion & Reason Type Questions questions in English are available as part of our Class 9: Additional Practice for Class 9 & Test: Linear Equations in Two Variables- Assertion & Reason Type Questions solutions in Hindi for Class 9: Additional Practice course. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Attempt Test: Linear Equations in Two Variables- Assertion & Reason Type Questions | 10 questions in 20 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study Class 9: Additional Practice for Class 9 Exam | Download free PDF with solutions
Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 1
Save

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

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.

Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 1
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 x 2 + 3 x 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).

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 2
Save

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

Assertion : There are infinite number of lines which passes through (3, 2).

Reason : A linear equation in two variables has infinitely many solutions.

Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 2
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) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A).

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 3
Save

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

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.

Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 3
For Assertion: The given linear equation is 4x + 3y = 12 Substituting x = 3 and y = 0, we get LHS = 4 x 3 + 3 x 0 = 12 + 0 = 12 = RHS Since (3, 0) satisfies the equation 4x + 3y = 12, therefore point (3, 0) lies on the graph of the linear equation 4x + 3y = 12.

So, Reason and Assertion are both correct. Here, Reason is the correct explanation of Assertion.

Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 4
Save

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

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.
Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 4
We know that equation of a line parallel to the y-axis is x = a. So, Reason (R) is true.

Also, x = 2 is a line parallel to the y-axis. So, Assertion (A) is true.

Thus, Reason (R) and Assertion (A) are true and Reason (R) is a correct explanation of Assertion (A).

Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 5
Save

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

Assertion: y = 3x represents a line passing through the origin.

Reason: Any line parallel to the x-axis is y = a.
Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 5
Since x = 0 and y = 0 is not satisfying y = 3x, therefore it is passing through the origin.

So, Assertion (A) is true.

Also, we know that equation of a line parallel to the x-axis is y = a.

So, Reason (R) is also true.

But Reason is not the correct explanation of Assertion.

Correct option is (b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A).

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 6
Save

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

Assertion : A linear equation 3x + 5y = 2 has a unique solution.

Reason : A linear equation in two variables has infinitely many solutions.
Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 6
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.

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 7
Save

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

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.
Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 7
We know that a linear equation in two variables has infinitely many solutions. So, Reason is correct.

Since x = 2k -1 and y = k is solution of the given linear equation, we have 3 x (2k -1) -5k -7 = 0 ⇒ 6k -3 -5k -7 = 0 ⇒ k -10 = 0 ⇒ k = 10.

So, Assertion is also correct

But reason (R) is not the correct explanation of assertion (A).

Correct option is (b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A).

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 8
Save

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

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.
Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 8
For Assertion: The given linear equation is 2x + 3y = 12 Substituting x = 3 and y = 2, we get LHS = 2 x 3 + 3 x 2 = 6 + 6 = 12 = RHS So, Assertion is correct.

For Reason: The given linear equation is x + 3y = 10 Substituting x = 4 and y = 2, we get LHS = 4 + 3 x 2 = 4 + 6 = 10 = RHS So, Reason is also correct. But reason (R) is not the correct explanation of assertion (A).

Correct option is (b) Both assertion (A) and reason (R) are true and reason (R) is not the correct explanation of assertion (A).

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 9
Save

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

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.
Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 9
For Assertion: The given linear equation is 2x – y = 1

Substituting x = 2 and y = 3, we get

LHS = 2 x 2 – 3 = 4 – 3 = 1 = RHS

Since (3, 0) satisfies the equation 4x + 3y = 12, therefore graph of the linear equation 2x – y = 1 passes through the point (2, 3).

So, Assertion is correct.

But Reason is not correct as every point lying on graph is a solution of

2x – y = 1.

Correct option is (c) Assertion (A) is true but reason (R) is false.

Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 10
Save

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

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.
Detailed Solution for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions - Question 10
For Assertion: The given linear equation is x + y = 3

Since x = 0 and y = 0 is not satisfying x + y = 3, therefore it is not passing through the origin.

So, Assertion is not correct.

Since x = 0 and y = 0 is not satisfying y = 2x, therefore it is passing through the origin.

So, Reason is correct. Correct option is (d) Assertion (A) is false but reason (R) is true.

4 docs|108 tests
Join Course
Information about Test: Linear Equations in Two Variables- Assertion & Reason Type Questions Page
In this test you can find the Exam questions for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Linear Equations in Two Variables- Assertion & Reason Type Questions, EduRev gives you an ample number of Online tests for practice

Top Courses for Class 9

Download as PDF

Top Courses for Class 9

Important Questions for Linear Equations in Two Variables- Assertion & Reason Type Questions

Find all the important questions for Linear Equations in Two Variables- Assertion & Reason Type Questions at EduRev.Get fully prepared for Linear Equations in Two Variables- Assertion & Reason Type Questions with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Linear Equations in Two Variables- Assertion & Reason Type Questions syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Linear Equations in Two Variables- Assertion & Reason Type Questions resources.

Linear Equations in Two Variables- Assertion & Reason Type Questions MCQs with Answers

Prepare for the Linear Equations in Two Variables- Assertion & Reason Type Questions within the Class 9 exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Linear Equations in Two Variables- Assertion & Reason Type Questions Class 9: Additional Practice

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Linear Equations in Two Variables- Assertion & Reason Type Questions with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup