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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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.
Reason (B): If discriminant D = b2 – 4ac < 0="" then="" the="" roots="" of="" the="" quadratic="" equation="" />2 + bx + c = 0 are imaginary.
- 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 'A'. Can you explain this answer?
Verified Answer
Directions: In the following questions, A statement of Assertion (A) ...
Let us apply the reason on the equation,
is unreal.
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x2 + 2x + 2 = 0
D = b2 – 4ac = (2)2 – 4(1)(2) = 4 – 8 = – 4
is unreal.No real value is possible in this case.
Therefore, Both A and R are true and R is the correct explanation for A.
Most Upvoted Answer
Directions: In the following questions, A statement of Assertion (A) ...
Explanation:
Explanation of Answer:
The given quadratic equation is x² + 2x + 2 = 0. Here, a = 1, b = 2 and c = 2. The discriminant of the equation is D = b² - 4ac = 2² - 4(1)(2) = -4. Since the discriminant is negative, the roots of the equation will be imaginary. Hence, Assertion (A) is true.
Reason (R) states that if the discriminant of a quadratic equation is negative, then its roots will be imaginary. This is a well-known fact in algebra. Hence, Reason (R) is true.
Therefore, both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation for Assertion (A). Thus, the correct option is (a).
- Quadratic Equation: A quadratic equation is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers and a ≠ 0.
- Discriminant: The discriminant of a quadratic equation is the expression b² - 4ac.
- Roots of Quadratic Equation: The roots of a quadratic equation ax² + bx + c = 0 can be found using the formula x = (-b ± √(b² - 4ac))/2a.
- Assertion (A): The roots of the quadratic equation x² + 2x + 2 = 0 are imaginary.
- Reason (R): If discriminant D = b² - 4ac < 0,="" then="" the="" roots="" of="" the="" equation="" ax²="" +="" bx="" +="" c="0" are="" />
Explanation of Answer:
The given quadratic equation is x² + 2x + 2 = 0. Here, a = 1, b = 2 and c = 2. The discriminant of the equation is D = b² - 4ac = 2² - 4(1)(2) = -4. Since the discriminant is negative, the roots of the equation will be imaginary. Hence, Assertion (A) is true.
Reason (R) states that if the discriminant of a quadratic equation is negative, then its roots will be imaginary. This is a well-known fact in algebra. Hence, Reason (R) is true.
Therefore, both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation for Assertion (A). Thus, the correct option is (a).
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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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. Can you explain this answer?
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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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. 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 roots of the quadratic equation x2 + 2x + 2 = 0 are imaginary.Reason (B): If discriminant D = b2 – 4ac 2 + bx + c = 0 are imaginary.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 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
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