Class 9 Exam > Class 9 Questions > DIRECTION : In the following questions, a st...
Start Learning for Free
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.
- 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.
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
For Assertion: The given linear equation is x + y = 3
View all questions of this test
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.
Most Upvoted Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Because whenever y equals x or vice-versa in an equation , it will be a line passing through the origin
Free Test
| FREE | Start Free Test |
Community Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
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.
Explanation:
To determine whether the given assertion and reason are true or false, we need to analyze the statements individually and then evaluate their relationship.
Understanding the Assertion:
The assertion states that the equation x + y = 3 represents a line passing through the origin. The origin is the point (0, 0) in the coordinate system. If this equation holds true for the origin, then it must satisfy the condition x = 0 and y = 0.
Substituting x = 0 and y = 0 in the equation x + y = 3:
0 + 0 = 3
0 = 3
This equation is not true, which means that the assertion is false. Therefore, we can eliminate options (a) and (b) as they both state that the assertion is true.
Understanding the Reason:
The reason states that the equation y = 2x represents a line passing through the origin. To determine whether this statement is true, we need to check if the origin satisfies this equation.
Substituting x = 0 and y = 0 in the equation y = 2x:
0 = 2(0)
This equation is true, and it confirms that the origin satisfies the equation y = 2x. Therefore, the reason is true.
Evaluating the Relationship:
Since the assertion is false and the reason is true, we can conclude that the reason does not provide a correct explanation for the assertion. Thus, option (b) is also incorrect.
Therefore, the correct answer is option (d) - Assertion (A) is false, but reason (R) is true.
Reason: y = 2x is the equation of a line passing through the origin.
Explanation:
To determine whether the given assertion and reason are true or false, we need to analyze the statements individually and then evaluate their relationship.
Understanding the Assertion:
The assertion states that the equation x + y = 3 represents a line passing through the origin. The origin is the point (0, 0) in the coordinate system. If this equation holds true for the origin, then it must satisfy the condition x = 0 and y = 0.
Substituting x = 0 and y = 0 in the equation x + y = 3:
0 + 0 = 3
0 = 3
This equation is not true, which means that the assertion is false. Therefore, we can eliminate options (a) and (b) as they both state that the assertion is true.
Understanding the Reason:
The reason states that the equation y = 2x represents a line passing through the origin. To determine whether this statement is true, we need to check if the origin satisfies this equation.
Substituting x = 0 and y = 0 in the equation y = 2x:
0 = 2(0)
This equation is true, and it confirms that the origin satisfies the equation y = 2x. Therefore, the reason is true.
Evaluating the Relationship:
Since the assertion is false and the reason is true, we can conclude that the reason does not provide a correct explanation for the assertion. Thus, option (b) is also incorrect.
Therefore, the correct answer is option (d) - Assertion (A) is false, but reason (R) is true.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
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.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.Correct answer is option 'D'. Can you explain this answer?
Question Description
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.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.Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 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.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.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.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.Correct answer is option 'D'. Can you explain this answer?.
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.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.Correct answer is option 'D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 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.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.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.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.Correct answer is option 'D'. Can you explain this answer?.
Solutions for 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.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.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of 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.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.Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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.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.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for 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.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.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of 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.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.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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.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.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup