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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.
  • 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 'B'. Can you explain this answer?
Verified Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
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).
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Most Upvoted Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion and Reason:

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

Reason (R): Any line parallel to the x-axis is y = a.

Explanation:

To understand the given assertion and reason, let's break it down into two parts:

Part 1: Assertion (A)
The equation y = 3x represents a line passing through the origin.

When an equation is in the form y = mx, where m is the slope, it represents a straight line passing through the origin (0,0). In this case, the slope (m) is 3, which means the line will rise 3 units for every 1 unit it moves to the right. Since the line passes through the origin, it satisfies the condition of the given equation.

Part 2: Reason (R)
Any line parallel to the x-axis is y = a.

A line parallel to the x-axis has a slope of 0 because it does not rise or fall along the y-axis. In this case, the equation y = a represents a horizontal line that does not depend on the value of x. It is always at a constant value 'a' on the y-axis.

Explanation of the Correct Answer (Option B):

The correct answer is option B - Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

Both the assertion and the reason are individually true. The equation y = 3x does represent a line passing through the origin, and any line parallel to the x-axis is indeed represented by y = a. However, reason (R) does not explain why the equation y = 3x represents a line passing through the origin. The reason talks about lines parallel to the x-axis, which is not directly related to the given equation.

Hence, option B is the correct answer.
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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.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 'B'. Can you explain this answer?
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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.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 'B'. 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: y = 3x represents a line passing through the origin.Reason: Any line parallel to the x-axis is y = a.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 'B'. 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: y = 3x represents a line passing through the origin.Reason: Any line parallel to the x-axis is y = a.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 'B'. Can you explain this answer?.
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