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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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .
Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.
- 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?
Most Upvoted Answer
DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion 9x2 + 43kx + 4 = 0
D = b2 - 4ac
= (3k)2 - 4(9)(4)
= 9k2 - 144
For equal roots D = 0
9k2 = 144
k = ± 4
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DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion: The equation 9x^2 + 34kx + 4 = 0 has equal roots for k = 4.
Reason: If the discriminant 'D' of a quadratic equation is equal to zero, then the roots of the equation are real and equal.
Explanation:
To determine whether the assertion and reason are true or false, let's analyze the given quadratic equation and its discriminant.
The given quadratic equation is 9x^2 + 34kx + 4 = 0.
To find the roots of a quadratic equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a),
where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 9, b = 34k, and c = 4.
The discriminant 'D' is given by:
D = b^2 - 4ac.
Substituting the values of a, b, and c into the discriminant formula, we get:
D = (34k)^2 - 4(9)(4)
= 1156k^2 - 144.
To determine the nature of the roots of the quadratic equation, we need to analyze the value of the discriminant.
If the discriminant is greater than zero (D > 0), then the quadratic equation has two distinct real roots.
If the discriminant is equal to zero (D = 0), then the quadratic equation has two real and equal roots.
If the discriminant is less than zero (D < 0),="" then="" the="" quadratic="" equation="" has="" two="" complex="" />
Now, let's substitute k = 4 into the expression for the discriminant:
D = 1156(4)^2 - 144
= 1156(16) - 144
= 18576 - 144
= 18432.
Since the discriminant is not equal to zero, the roots of the quadratic equation 9x^2 + 34kx + 4 = 0 are not equal for k = 4.
Therefore, the assertion is false.
Conclusion:
The correct answer is option (c) Assertion (A) is true but reason (R) is false.
Reason: If the discriminant 'D' of a quadratic equation is equal to zero, then the roots of the equation are real and equal.
Explanation:
To determine whether the assertion and reason are true or false, let's analyze the given quadratic equation and its discriminant.
The given quadratic equation is 9x^2 + 34kx + 4 = 0.
To find the roots of a quadratic equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a),
where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 9, b = 34k, and c = 4.
The discriminant 'D' is given by:
D = b^2 - 4ac.
Substituting the values of a, b, and c into the discriminant formula, we get:
D = (34k)^2 - 4(9)(4)
= 1156k^2 - 144.
To determine the nature of the roots of the quadratic equation, we need to analyze the value of the discriminant.
If the discriminant is greater than zero (D > 0), then the quadratic equation has two distinct real roots.
If the discriminant is equal to zero (D = 0), then the quadratic equation has two real and equal roots.
If the discriminant is less than zero (D < 0),="" then="" the="" quadratic="" equation="" has="" two="" complex="" />
Now, let's substitute k = 4 into the expression for the discriminant:
D = 1156(4)^2 - 144
= 1156(16) - 144
= 18576 - 144
= 18432.
Since the discriminant is not equal to zero, the roots of the quadratic equation 9x^2 + 34kx + 4 = 0 are not equal for k = 4.
Therefore, the assertion is false.
Conclusion:
The correct answer is option (c) Assertion (A) is true but reason (R) is false.
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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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 10 2025 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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 10 2025 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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 10 2025 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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 10 2025 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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 10.
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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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 : The equation 9x2 + 34kx + 4 = 0 has equal roots for k = + 4 .Reason : If discriminant ‘D’ of a quadratic equation is equal to zero then the roots of equation are real and equal.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 10 tests.
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