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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 : Pair of linear equations : 9x + 3y + 12 = 0, 8x + 6y + 24 = 0 have infinitely many solutions.
Reason : Pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have infinitely many solutions, a1/a2 = b1/b2 = c1/c2
  • 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 'A'. Can you explain this answer?
Verified Answer
Directions: In the following questions, A statement of Assertion (A) ...
From the given equations, we have
9/18 = 3/6 = 12/24
1/2 = 1/2 = 1/2 i.e, a1/a2 = b1/b2 = c1/c2
So, both A and R are correct and R explains A.
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Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
Explanation:

  • The given pair of linear equations are: 9x - 3y + 12 = 0 and 8x - 6y + 24 = 0

  • To solve this pair of linear equations, we can use the method of elimination by multiplying the first equation by 2 and the second equation by 3 to get:


    • 18x - 6y + 24 = 0

    • 24x - 18y + 72 = 0


  • Now, subtracting the first equation from the second equation, we get:


    • 6x - 12y + 48 = 0


  • Dividing this equation by 6, we get:


    • x - 2y + 8 = 0


  • Thus, we can see that the given pair of linear equations are dependent and have infinitely many solutions.

  • The reason for this is that the given pair of linear equations satisfy the condition a1/a2 = b1/b2 = c1/c2. In this case, we have:


    • a1/a2 = 9/8

    • b1/b2 = -3/-6 = 1/2

    • c1/c2 = 12/24 = 1/2



Therefore, we can conclude that both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion.
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Community Answer
Directions: In the following questions, A statement of Assertion (A) ...
The question was like 9/8.
when we do 9/8 is not equal to 3/6(1/2) which is equal to 12/24(1/2)
therefore assertion is false but reason is true. (d).
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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 : Pair of linear equations : 9x + 3y + 12 = 0, 8x + 6y + 24 = 0 have infinitely many solutions.Reason : Pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have infinitely many solutions, a1/a2 = b1/b2 = c1/c2a)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 'A'. 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 : Pair of linear equations : 9x + 3y + 12 = 0, 8x + 6y + 24 = 0 have infinitely many solutions.Reason : Pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have infinitely many solutions, a1/a2 = b1/b2 = c1/c2a)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 'A'. 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 : Pair of linear equations : 9x + 3y + 12 = 0, 8x + 6y + 24 = 0 have infinitely many solutions.Reason : Pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have infinitely many solutions, a1/a2 = b1/b2 = c1/c2a)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 'A'. 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 : Pair of linear equations : 9x + 3y + 12 = 0, 8x + 6y + 24 = 0 have infinitely many solutions.Reason : Pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have infinitely many solutions, a1/a2 = b1/b2 = c1/c2a)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 'A'. 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 : Pair of linear equations : 9x + 3y + 12 = 0, 8x + 6y + 24 = 0 have infinitely many solutions.Reason : Pair of linear equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 have infinitely many solutions, a1/a2 = b1/b2 = c1/c2a)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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
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