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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 : A linear equation 3x + 5y = 2 has a unique solution.
Reason : A linear equation in two variables has infinitely many solutions.
- 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?
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Verified Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
We know that a linear equation in two variables has infinitely many solutions.
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So, Reason is correct.
Hence, Assertion is not 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) ...
Assertion (A): A linear equation 3x - 5y = 2 has a unique solution.
Reason (R): A linear equation in two variables has infinitely many solutions.
The correct answer is option 'D': Assertion (A) is false but reason (R) is true.
Explanation:
Linear Equation:
A linear equation is an equation in which the degree of each term is 1. It represents a straight line when plotted on a graph. The general form of a linear equation in two variables (x and y) is ax + by + c = 0, where a, b, and c are constants.
Unique Solution:
A linear equation has a unique solution when the solution is a specific pair of values for x and y that satisfy the equation. In other words, there is only one point of intersection between the line represented by the equation and the coordinate plane.
Infinitely Many Solutions:
A linear equation has infinitely many solutions when the equation represents a line that coincides with the coordinate plane. In this case, every point on the line satisfies the equation, so there are infinitely many points of intersection between the line and the coordinate plane.
Analysis:
The given linear equation is 3x - 5y = 2. This equation represents a line in the coordinate plane. To determine the number of solutions, we need to analyze the coefficients of x and y.
The coefficient of x is 3 and the coefficient of y is -5. Since both coefficients are non-zero and not equal, the line represented by the equation is not parallel to either the x-axis or the y-axis.
If the line is not parallel to the x-axis, it will intersect the x-axis at a unique point. Similarly, if the line is not parallel to the y-axis, it will intersect the y-axis at a unique point. Therefore, the line represented by the equation 3x - 5y = 2 will have a unique solution.
Conclusion:
The given assertion (A) that the linear equation 3x - 5y = 2 has a unique solution is false. However, the reason (R) that a linear equation in two variables has infinitely many solutions is true.
Reason (R): A linear equation in two variables has infinitely many solutions.
The correct answer is option 'D': Assertion (A) is false but reason (R) is true.
Explanation:
Linear Equation:
A linear equation is an equation in which the degree of each term is 1. It represents a straight line when plotted on a graph. The general form of a linear equation in two variables (x and y) is ax + by + c = 0, where a, b, and c are constants.
Unique Solution:
A linear equation has a unique solution when the solution is a specific pair of values for x and y that satisfy the equation. In other words, there is only one point of intersection between the line represented by the equation and the coordinate plane.
Infinitely Many Solutions:
A linear equation has infinitely many solutions when the equation represents a line that coincides with the coordinate plane. In this case, every point on the line satisfies the equation, so there are infinitely many points of intersection between the line and the coordinate plane.
Analysis:
The given linear equation is 3x - 5y = 2. This equation represents a line in the coordinate plane. To determine the number of solutions, we need to analyze the coefficients of x and y.
The coefficient of x is 3 and the coefficient of y is -5. Since both coefficients are non-zero and not equal, the line represented by the equation is not parallel to either the x-axis or the y-axis.
If the line is not parallel to the x-axis, it will intersect the x-axis at a unique point. Similarly, if the line is not parallel to the y-axis, it will intersect the y-axis at a unique point. Therefore, the line represented by the equation 3x - 5y = 2 will have a unique solution.
Conclusion:
The given assertion (A) that the linear equation 3x - 5y = 2 has a unique solution is false. However, the reason (R) that a linear equation in two variables has infinitely many solutions is true.
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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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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?
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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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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.
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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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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 : A linear equation 3x + 5y = 2 has a unique solution.Reason : A linear equation in two variables has infinitely many solutions.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.
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