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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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .
Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.
- 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 'B'. Can you explain this answer?
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Verified Answer
Directions: In the following questions, A statement of Assertion (A) ...
Let 3x − 4y = 7......(1)
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6x − 8y = k......(2)
If k = 14 in equation (2) ⇒ 6x − 8y = 14
Now, (2) ÷ 2 ⇒ 3x − 4y = 7......(3)
Therefore, the lines represented by (1) and (3) shows that the lines are coincident and there are infinitely many solutions.
Hence, the Assertion is correct.
Clearly, the Reason is correct.
Since both the Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
Explanation:
Assertion:
- The given system of linear equations 3x - 4y = 7 and 6x - 8y = 14 has an infinite number of solutions if k = 14.
Reason:
- When two linear equations in two variables have the same slope but different y-intercepts, they are parallel lines and have no common solution. However, if the two lines coincide, they have infinite solutions.
- In this case, the two equations are multiples of each other, which means they represent the same line. When k = 14, the second equation becomes 6x - 8y = 14, which is a multiple of the first equation. Hence, they represent the same line and have infinite solutions.
Therefore, both the assertion and reason are true, and the reason correctly explains why the assertion is true. Hence, option 'A' is the correct choice.
Assertion:
- The given system of linear equations 3x - 4y = 7 and 6x - 8y = 14 has an infinite number of solutions if k = 14.
Reason:
- When two linear equations in two variables have the same slope but different y-intercepts, they are parallel lines and have no common solution. However, if the two lines coincide, they have infinite solutions.
- In this case, the two equations are multiples of each other, which means they represent the same line. When k = 14, the second equation becomes 6x - 8y = 14, which is a multiple of the first equation. Hence, they represent the same line and have infinite solutions.
Therefore, both the assertion and reason are true, and the reason correctly explains why the assertion is true. Hence, option 'A' is the correct choice.
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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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. Can you explain this answer?
Question Description
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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Here you can find the meaning 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. 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 : 3x - 4y = 7 and 6x - 8y = k have infinite number of solution if k = 14 .Reason : a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have a unique solution if a1/a2 ≠ b1/b2.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 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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