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If the function f(x) = x3 – 6ax2 + 5x satisfies the conditions of Lagrange's mean theorem for the interval [1, 2] and the tangent to the curve y = f(x) at x = 7/4 is parallel to the chord joining the points of intersection of the curve with the ordinates x = 1 and x = 2. Then the value of a is
  • a)
    35/16
  • b)
    35/48
  • c)
    7/16
  • d)
    5/16
Correct answer is option 'B'. Can you explain this answer?
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If the function f(x) = x3–6ax2+ 5x satisfies the conditions of L...
If the function f(x) = x^3, it means that for any given value of x, the function will cube that value. So, if x = 2, then f(2) = 2^3 = 8. Similarly, if x = -1, then f(-1) = (-1)^3 = -1. The function f(x) = x^3 represents a cubic function.
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If the function f(x) = x3–6ax2+ 5x satisfies the conditions of Lagranges mean theorem for the interval [1, 2] and the tangent to the curve y = f(x) at x = 7/4 is parallel to the chord joining the points of intersection of the curve with the ordinates x = 1 and x = 2. Then the value of a isa)35/16b)35/48c)7/16d)5/16Correct answer is option 'B'. Can you explain this answer?
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If the function f(x) = x3–6ax2+ 5x satisfies the conditions of Lagranges mean theorem for the interval [1, 2] and the tangent to the curve y = f(x) at x = 7/4 is parallel to the chord joining the points of intersection of the curve with the ordinates x = 1 and x = 2. Then the value of a isa)35/16b)35/48c)7/16d)5/16Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the function f(x) = x3–6ax2+ 5x satisfies the conditions of Lagranges mean theorem for the interval [1, 2] and the tangent to the curve y = f(x) at x = 7/4 is parallel to the chord joining the points of intersection of the curve with the ordinates x = 1 and x = 2. Then the value of a isa)35/16b)35/48c)7/16d)5/16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the function f(x) = x3–6ax2+ 5x satisfies the conditions of Lagranges mean theorem for the interval [1, 2] and the tangent to the curve y = f(x) at x = 7/4 is parallel to the chord joining the points of intersection of the curve with the ordinates x = 1 and x = 2. Then the value of a isa)35/16b)35/48c)7/16d)5/16Correct answer is option 'B'. Can you explain this answer?.
Solutions for If the function f(x) = x3–6ax2+ 5x satisfies the conditions of Lagranges mean theorem for the interval [1, 2] and the tangent to the curve y = f(x) at x = 7/4 is parallel to the chord joining the points of intersection of the curve with the ordinates x = 1 and x = 2. Then the value of a isa)35/16b)35/48c)7/16d)5/16Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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