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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 p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).
Reason : A linear polynomial has one and only one zero.
- 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) i...
When a curve or a line intersects X-axis then the y-co ordinate will be zero.
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Because on X-axis the value of y-co ordinate is zero.
Given equation is y = ax + b
Now on substituting y = 0 we get ax + b = 0
⇒ ax = −b
⇒ x = -b/a
Therefore the co-ordinates are ( -b/a, 0).
Most Upvoted Answer
Direction: In the following questions, a statement of assertion (A) i...
Assertion: If p(x) = ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).
Reason: A linear polynomial has one and only one zero.
To evaluate the given assertion and reason, let's understand the concepts of linear polynomials and zeros of a polynomial.
Linear Polynomial:
- A linear polynomial is a polynomial of degree 1, which means it has the highest exponent of x as 1.
- The general form of a linear polynomial is p(x) = ax + b, where 'a' and 'b' are constants and 'a' is not equal to 0.
- The coefficient 'a' represents the slope of the line, and 'b' represents the y-intercept.
Zeros of a Polynomial:
- The zeros of a polynomial are the values of 'x' for which the polynomial becomes zero.
- In other words, if p(x) = 0, then x is a zero of the polynomial p(x).
Explanation:
- The given linear polynomial is p(x) = ax + b, where 'a' and 'b' are constants and 'a' is not equal to 0.
- To find the zero of the polynomial, we need to find the value of 'x' for which p(x) = 0.
- Substituting p(x) = 0 in the linear polynomial, we get ax + b = 0.
- Solving this equation for 'x', we get x = -b/a.
- Therefore, x = -b/a is the only zero of the given linear polynomial.
Conclusion:
- Both the assertion and the reason are true.
- The reason is the correct explanation of the assertion because a linear polynomial of the form ax + b has a degree of 1, which means it can have at most one zero.
- In this case, x = -b/a is the only zero of the linear polynomial p(x) = ax + b.
- 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: A linear polynomial has one and only one zero.
To evaluate the given assertion and reason, let's understand the concepts of linear polynomials and zeros of a polynomial.
Linear Polynomial:
- A linear polynomial is a polynomial of degree 1, which means it has the highest exponent of x as 1.
- The general form of a linear polynomial is p(x) = ax + b, where 'a' and 'b' are constants and 'a' is not equal to 0.
- The coefficient 'a' represents the slope of the line, and 'b' represents the y-intercept.
Zeros of a Polynomial:
- The zeros of a polynomial are the values of 'x' for which the polynomial becomes zero.
- In other words, if p(x) = 0, then x is a zero of the polynomial p(x).
Explanation:
- The given linear polynomial is p(x) = ax + b, where 'a' and 'b' are constants and 'a' is not equal to 0.
- To find the zero of the polynomial, we need to find the value of 'x' for which p(x) = 0.
- Substituting p(x) = 0 in the linear polynomial, we get ax + b = 0.
- Solving this equation for 'x', we get x = -b/a.
- Therefore, x = -b/a is the only zero of the given linear polynomial.
Conclusion:
- Both the assertion and the reason are true.
- The reason is the correct explanation of the assertion because a linear polynomial of the form ax + b has a degree of 1, which means it can have at most one zero.
- In this case, x = -b/a is the only zero of the linear polynomial p(x) = ax + b.
- 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 : If p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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 p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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 p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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 p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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?.
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 p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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 p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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 p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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?.
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 : If p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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? 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 : If p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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? 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 : If p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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?, 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 : If p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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? 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 : If p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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? theory, EduRev gives you an
ample number of questions to practice 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 p(x) ax + b, a ≠ 0 is a linear polynomial, then x = -b/a is the only zero of p(x).Reason : A linear polynomial has one and only one zero.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? tests, examples and also practice Class 9 tests.
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