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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 : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.
Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.
- 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 'B'. Can you explain this answer?
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Verified Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion and Reason both are true statements. But Reason is not the correct explanation.
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Assertion (2x - 1)2 - 4x2 + 5 = 0
- 4x + 6 = 0
Reason 2X2 - 6x = 0
2x(x - 3) = 0
x = 0
and x = 3
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DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion (A): (2x - 1)2 - 4x2 + 5 = 0 is not a quadratic equation.
Reason (R): x = 0, 3 are the roots of the equation 2x2 - 60x = 0.
To determine the correctness of the given assertion and reason, let's analyze each statement separately.
Assertion (A): (2x - 1)2 - 4x2 + 5 = 0 is not a quadratic equation.
A quadratic equation is a polynomial equation of the second degree, which means it can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants. In the given equation, we have (2x - 1)2 - 4x2 + 5 = 0. Expanding and simplifying this equation gives us 4x^2 - 4x + 1 - 4x^2 + 5 = 0. Combining like terms, we get -4x + 6 = 0. This is a linear equation, not a quadratic equation. Therefore, the assertion is true.
Reason (R): x = 0, 3 are the roots of the equation 2x^2 - 60x = 0.
To find the roots of the equation 2x^2 - 60x = 0, we can factor out a common factor of 2x, which gives us 2x(x - 30) = 0. Setting each factor equal to zero, we find x = 0 and x - 30 = 0, which simplifies to x = 30. Therefore, the roots of the equation are x = 0 and x = 30. However, the reason does not provide any explanation or connection to the given assertion. The roots of a different equation do not affect whether or not the given equation is quadratic. Therefore, the reason is not the correct explanation of the assertion.
Conclusion:
Both the assertion and reason are true, but the reason is not the correct explanation of the assertion. Therefore, the correct answer is option B) Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
Reason (R): x = 0, 3 are the roots of the equation 2x2 - 60x = 0.
To determine the correctness of the given assertion and reason, let's analyze each statement separately.
Assertion (A): (2x - 1)2 - 4x2 + 5 = 0 is not a quadratic equation.
A quadratic equation is a polynomial equation of the second degree, which means it can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants. In the given equation, we have (2x - 1)2 - 4x2 + 5 = 0. Expanding and simplifying this equation gives us 4x^2 - 4x + 1 - 4x^2 + 5 = 0. Combining like terms, we get -4x + 6 = 0. This is a linear equation, not a quadratic equation. Therefore, the assertion is true.
Reason (R): x = 0, 3 are the roots of the equation 2x^2 - 60x = 0.
To find the roots of the equation 2x^2 - 60x = 0, we can factor out a common factor of 2x, which gives us 2x(x - 30) = 0. Setting each factor equal to zero, we find x = 0 and x - 30 = 0, which simplifies to x = 30. Therefore, the roots of the equation are x = 0 and x = 30. However, the reason does not provide any explanation or connection to the given assertion. The roots of a different equation do not affect whether or not the given equation is quadratic. Therefore, the reason is not the correct explanation of the assertion.
Conclusion:
Both the assertion and reason are true, but the reason is not the correct explanation of the assertion. Therefore, the correct answer is option B) Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).
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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 : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 'B'. 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 : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 '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 DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 '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 DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 'B'. 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 : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 '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 DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 '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 DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 'B'. 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 : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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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 : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 'B'. 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 : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 'B'. 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 : (2x - l)2 - 4x2 + 5 = 0 is not a quadratic equation.Reason : x = 0, 3 are the roots of the equation 2x2 -60x = 0.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 'B'. Can you explain this answer? theory, EduRev gives you an
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