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The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12–x2 such that the rectangle lies inside the parabola, is :-
  • a)
  • b)
  • c)
    32
  • d)
    36
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The maximum area (in sq. units) of a rectangle having its base on the ...
f(a) = 2a(12 – a)2
f'(a) = 2(12 – 3a2)
maximum at a = 2
maximum area = f(2) = 32
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The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12–x2 such that the rectangle lies inside the parabola, is :-a)b)c)32d)36Correct answer is option 'C'. Can you explain this answer?
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The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12–x2 such that the rectangle lies inside the parabola, is :-a)b)c)32d)36Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12–x2 such that the rectangle lies inside the parabola, is :-a)b)c)32d)36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12–x2 such that the rectangle lies inside the parabola, is :-a)b)c)32d)36Correct answer is option 'C'. Can you explain this answer?.
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