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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 : If x = 2, y = 1 is a solution of the equation 2x + 3y = k, then the value of k is 7.
Reason : The solution of the line will satisfy the equation of the line.
  • 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 'A'. Can you explain this answer?
Verified Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
We know that the solution of the line will satisfy the equation of the line.
So, Reason is correct.
Since x = 2, y =1 is a solution of the given linear equation, we have 2 x 2 + 3 x 1 – k = 0 ⇒ 4 + 3 – k = 0 ⇒ k =7.
So, Assertion is also correct Correct option is (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
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Most Upvoted Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion: If x = 2, y = 1 is a solution of the equation 2x - 3y = k, then the value of k is 7.

Reason: The solution of the line will satisfy the equation of the line.

Explanation:
To understand this question, let's first analyze the given equation and the values of x and y.

The given equation is 2x - 3y = k.

We are given that x = 2 and y = 1 is a solution of this equation. Let's substitute these values into the equation and check if they satisfy the equation.

Substituting x = 2 and y = 1 into the equation, we get:

2(2) - 3(1) = k
4 - 3 = k
1 = k

So, when x = 2 and y = 1, the value of k is 1.

Now let's analyze the reason given in the question.

The reason states that the solution of the line will satisfy the equation of the line. In other words, if a point (x, y) lies on a line, then substituting the values of x and y into the equation of the line will give us a true statement.

In this case, the point (2, 1) lies on the line represented by the equation 2x - 3y = k. Substituting x = 2 and y = 1 into the equation, we get:

2(2) - 3(1) = k
4 - 3 = k
1 = k

As we can see, the equation is satisfied when x = 2, y = 1, and k = 1.

Since the value of k is not equal to 7, the reason given in the question is incorrect.

Therefore, the correct answer is:

Assertion (A) is true but reason (R) is false.
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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 : If x = 2, y = 1 is a solution of the equation 2x + 3y = k, then the value of k is 7.Reason : The solution of the line will satisfy the equation of the line.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 'A'. 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 : If x = 2, y = 1 is a solution of the equation 2x + 3y = k, then the value of k is 7.Reason : The solution of the line will satisfy the equation of the line.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 'A'. 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 : If x = 2, y = 1 is a solution of the equation 2x + 3y = k, then the value of k is 7.Reason : The solution of the line will satisfy the equation of the line.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 'A'. 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 : If x = 2, y = 1 is a solution of the equation 2x + 3y = k, then the value of k is 7.Reason : The solution of the line will satisfy the equation of the line.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 'A'. Can you explain this answer?.
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