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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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)
Reason : Irrational zeros (roots) always occurs in
- 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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Verified Answer
Direction: In the following questions, a statement of assertion (A) i...
As irrational roots/zeros always occurs in pairs therefore, when one zero is (2 - √3) then other will be 2 + √3 . So, both A and R are correct and R explains A.
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Thus (a) is correct option.
Most Upvoted Answer
Direction: In the following questions, a statement of assertion (A) i...
Assertion: (2 - √3) is one zero of the quadratic polynomial.
Reason: Irrational zeros (roots) always occur in pairs.
Explanation:
To understand why the correct answer is option 'A', let's break down the assertion and reason given in the question.
Assertion: (2 - √3) is one zero of the quadratic polynomial.
A quadratic polynomial is a polynomial of degree 2, which can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants. The zeros of a quadratic polynomial are the values of x for which the polynomial becomes zero.
In this case, the zero of the polynomial is given as (2 - √3). This means that if we substitute (2 - √3) into the quadratic polynomial, it will result in zero.
Reason: Irrational zeros (roots) always occur in pairs.
The reason given in the question states that irrational zeros (or roots) always occur in pairs. This means that if one irrational number is a zero of a polynomial, another irrational number will also be a zero.
Now, let's analyze the given information in detail:
1. The zero given in the assertion, (2 - √3), is an irrational number because it involves the square root of a non-perfect square (√3).
2. According to the reason, if (2 - √3) is one zero of the quadratic polynomial, then there must be another irrational number that is also a zero.
3. This implies that the quadratic polynomial has two irrational zeros, which occur in a pair.
Therefore, both the assertion and the reason are true, and the reason explains why the given assertion is true. Hence, the correct answer is option 'A': Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).
Reason: Irrational zeros (roots) always occur in pairs.
Explanation:
To understand why the correct answer is option 'A', let's break down the assertion and reason given in the question.
Assertion: (2 - √3) is one zero of the quadratic polynomial.
A quadratic polynomial is a polynomial of degree 2, which can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants. The zeros of a quadratic polynomial are the values of x for which the polynomial becomes zero.
In this case, the zero of the polynomial is given as (2 - √3). This means that if we substitute (2 - √3) into the quadratic polynomial, it will result in zero.
Reason: Irrational zeros (roots) always occur in pairs.
The reason given in the question states that irrational zeros (or roots) always occur in pairs. This means that if one irrational number is a zero of a polynomial, another irrational number will also be a zero.
Now, let's analyze the given information in detail:
1. The zero given in the assertion, (2 - √3), is an irrational number because it involves the square root of a non-perfect square (√3).
2. According to the reason, if (2 - √3) is one zero of the quadratic polynomial, then there must be another irrational number that is also a zero.
3. This implies that the quadratic polynomial has two irrational zeros, which occur in a pair.
Therefore, both the assertion and the reason are true, and the reason explains why the given assertion is true. Hence, the correct answer is option 'A': Both assertion (A) and reason (R) are true, and reason (R) is 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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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?.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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?.
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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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? in English & in Hindi are available as part of our courses for Class 9.
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Here you can find the meaning 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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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? defined & explained in the simplest way possible. Besides giving the explanation 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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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?, 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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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? 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 : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3)Reason : Irrational zeros (roots) always occurs ina)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? theory, EduRev gives you an
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