Class 10 Exam > Class 10 Questions > Directions: In the following questions, A sta...
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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 (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.
Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.
- a)Both A and R are true and R is the correct explanation for A.
- b)Both A and R are true and R is not correct explanation for A.
- c)A is true but R is false.
- d)A is false but R is true.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) i...
Understanding the Assertion (A)
The assertion states that "The degree of a quadratic equation is always 2." This is true because, by definition, a quadratic equation is a polynomial equation of degree 2. The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a is not zero.
Analyzing the Reason (R)
The reason given is that "An equation of the form ax² + c = 0 is known as a pure quadratic equation." This statement is also true. A pure quadratic equation lacks the linear term (bx) and can be expressed simply as ax² + c = 0, where a is non-zero.
Connection Between A and R
While both statements are true, the key is in their relationship. The assertion discusses the general nature of quadratic equations, while the reason specifically describes a subset of quadratic equations (pure quadratics). Thus, R does not directly explain why A is true.
Conclusion
Since both A and R are true but R does not serve as a correct explanation for A, the correct choice is:
- Option B: Both A and R are true, and R is not the correct explanation for A.
The assertion states that "The degree of a quadratic equation is always 2." This is true because, by definition, a quadratic equation is a polynomial equation of degree 2. The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a is not zero.
Analyzing the Reason (R)
The reason given is that "An equation of the form ax² + c = 0 is known as a pure quadratic equation." This statement is also true. A pure quadratic equation lacks the linear term (bx) and can be expressed simply as ax² + c = 0, where a is non-zero.
Connection Between A and R
While both statements are true, the key is in their relationship. The assertion discusses the general nature of quadratic equations, while the reason specifically describes a subset of quadratic equations (pure quadratics). Thus, R does not directly explain why A is true.
Conclusion
Since both A and R are true but R does not serve as a correct explanation for A, the correct choice is:
- Option B: Both A and R are true, and R is not the correct explanation for A.
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Directions: In the following questions, A statement of Assertion (A) i...
An equation that can be expressed in the form ax2 + c = 0, where a and c are real numbers and a = 0 is a pure quadratic equation. Or the quadratic equation having only second degree variable is called a pure quadratic equation.
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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 (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 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 (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 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 (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 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 (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 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 (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. 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 (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but 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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Here you can find the meaning of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?, a detailed solution 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 (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): The degree of quadratic equation is always 2. Hence, x2 – 1 = 0 is pure quadratic equation.Reason (R): An equation of the form ax2 + c = 0 is known as pure quadratic equation.a)Both A and R are true and R is the correct explanation for A.b)Both A and R are true and R is not correct explanation for A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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