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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.
Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'D'. Can you explain this answer?
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Directions: In the following questions, A statement of Assertion (A) ...
We know that if the lines are parallel, then it has no solution.
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So, Assertion is false. We know that if the lines are intersecting, then it has unique solution.
So, Reason is true.
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Directions: In the following questions, A statement of Assertion (A) ...
Assertion: A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.
Reason: If the pair of lines are intersecting, then the pair has a unique solution and is called a consistent pair of equations.
The given assertion and reason are contradicting each other. According to the assertion, a pair of linear equations has no solution if it is represented by intersecting lines graphically. However, the reason states that if the pair of lines are intersecting, then the pair has a unique solution and is called a consistent pair of equations.
Explanation:
A pair of linear equations can be represented by intersecting lines graphically in three different ways:
1. Intersecting lines: In this case, the pair of equations has a unique solution and is called a consistent pair of equations. The point of intersection represents the solution to the equations.
2. Coincident lines: In this case, the pair of equations has infinitely many solutions and is also called a consistent pair of equations. The two lines are superimposed on each other and represent the same line. Any point on the line is a solution to the equations.
3. Parallel lines: In this case, the pair of equations has no solution and is called an inconsistent pair of equations. The lines do not intersect and hence, there is no common solution to the equations.
From the above explanation, it is clear that the reason given in the statement is incorrect. If the pair of lines are intersecting, it does not imply that the pair has a unique solution. Therefore, the correct answer is option 'D' - A is false and R is true.
Reason: If the pair of lines are intersecting, then the pair has a unique solution and is called a consistent pair of equations.
The given assertion and reason are contradicting each other. According to the assertion, a pair of linear equations has no solution if it is represented by intersecting lines graphically. However, the reason states that if the pair of lines are intersecting, then the pair has a unique solution and is called a consistent pair of equations.
Explanation:
A pair of linear equations can be represented by intersecting lines graphically in three different ways:
1. Intersecting lines: In this case, the pair of equations has a unique solution and is called a consistent pair of equations. The point of intersection represents the solution to the equations.
2. Coincident lines: In this case, the pair of equations has infinitely many solutions and is also called a consistent pair of equations. The two lines are superimposed on each other and represent the same line. Any point on the line is a solution to the equations.
3. Parallel lines: In this case, the pair of equations has no solution and is called an inconsistent pair of equations. The lines do not intersect and hence, there is no common solution to the equations.
From the above explanation, it is clear that the reason given in the statement is incorrect. If the pair of lines are intersecting, it does not imply that the pair has a unique solution. Therefore, the correct answer is option 'D' - A is false and R is true.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : A pair of linear equations has no solution (s) if it is represented by intersecting lines graphically.Reason: If the pair of lines are intersecting, then the pair has unique solution and is called consistent pair of equations.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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