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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 : 4x2 -12x+9 =0 has repeated roots.
Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .
- 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 'C'. Can you explain this answer?
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DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion 4x2 - 12x + 9 = 0
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D = b2 - 4ac
= (- 12)2 - 4(4)(9)
= 144 - 144 = 0
Roots are repeated.
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DIRECTION : In the following questions, a statement of assertion (A) ...
Assertion and Reasoning
Assertion: 4x2 -12x +9 = 0 has repeated roots.
Reason: The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0.
Explanation
The given quadratic equation is 4x2 -12x +9 = 0.
Here, a = 4, b = -12, and c = 9.
Now, we know that the discriminant of a quadratic equation is given by b2 - 4ac.
Hence, the discriminant of the given equation is (-12)2 - 4(4)(9) = 144 - 144 = 0.
Since the discriminant is equal to zero, the quadratic equation has repeated roots.
Hence, the assertion is true.
However, the reasoning is not correct as the quadratic equation ax2 + bx + c = 0 has repeated roots if the discriminant D = b2 - 4ac is equal to zero and not greater than zero.
Therefore, the correct answer is option (C) - Assertion (A) is true, but Reasoning (R) is false.
Assertion: 4x2 -12x +9 = 0 has repeated roots.
Reason: The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0.
Explanation
The given quadratic equation is 4x2 -12x +9 = 0.
Here, a = 4, b = -12, and c = 9.
Now, we know that the discriminant of a quadratic equation is given by b2 - 4ac.
Hence, the discriminant of the given equation is (-12)2 - 4(4)(9) = 144 - 144 = 0.
Since the discriminant is equal to zero, the quadratic equation has repeated roots.
Hence, the assertion is true.
However, the reasoning is not correct as the quadratic equation ax2 + bx + c = 0 has repeated roots if the discriminant D = b2 - 4ac is equal to zero and not greater than zero.
Therefore, the correct answer is option (C) - Assertion (A) is true, but Reasoning (R) is false.
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DIRECTION : In the following questions, a statement of assertion (A) ...
The roots of the given equation are 3/2, 3/2.
4x²-12x+9=0
4x²-6x-6x+9=0
2x(2x-3)-3(2x-3)=0
(2x-3)(2x-3)=0
x=3/2,3/2.
Hence, given equation has repeated roots so assertion is true.
But, for D>0, roots are real and distinct and these are equal roots, so reason is false.
Hence, option c is the right answer.
4x²-12x+9=0
4x²-6x-6x+9=0
2x(2x-3)-3(2x-3)=0
(2x-3)(2x-3)=0
x=3/2,3/2.
Hence, given equation has repeated roots so assertion is true.
But, for D>0, roots are real and distinct and these are equal roots, so reason is false.
Hence, option c is the right 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 : 4x2 -12x+9 =0 has repeated roots.Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .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 'C'. 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 : 4x2 -12x+9 =0 has repeated roots.Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .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 'C'. 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 : 4x2 -12x+9 =0 has repeated roots.Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .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 'C'. 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 : 4x2 -12x+9 =0 has repeated roots.Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .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 'C'. 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 : 4x2 -12x+9 =0 has repeated roots.Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .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 'C'. 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 : 4x2 -12x+9 =0 has repeated roots.Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .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 'C'. 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 : 4x2 -12x+9 =0 has repeated roots.Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .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 'C'. 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 : 4x2 -12x+9 =0 has repeated roots.Reason : The quadratic equation ax2 + bx + c = 0 have repeated roots if discriminant D > 0 .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 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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