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For the function f(x) = x2 – 2x + 1
we have Rolles point at x = 1. The coordinate axes are then rotated by 45 degrees in anticlockwise sense. What is the position of new Rolles point with respect to the transformed coordinate axes
  • a)
    3/2
  • b)
    1/2
  • c)
    5/2
  • d)
    1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
For the function f(x) = x2 – 2x + 1we have Rolles point at x = 1...
The coordinate axes are rotated by 45 degree then the problem transforms into that of Lagrange mean value theorem where the point in some interval has the slope of tan(45).
Hence differentiating the function and equating to tan(45).
We have
f ‘(x) = tan(45) = 2x – 2
2x – 2 = 1
x = 3⁄2.
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For the function f(x) = x2 – 2x + 1we have Rolles point at x = 1. The coordinate axes are then rotated by 45degrees in anticlockwise sense. What is the position of new Rolles point with respect to the transformed coordinate axesa)3/2b)1/2c)5/2d)1Correct answer is option 'A'. Can you explain this answer?
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For the function f(x) = x2 – 2x + 1we have Rolles point at x = 1. The coordinate axes are then rotated by 45degrees in anticlockwise sense. What is the position of new Rolles point with respect to the transformed coordinate axesa)3/2b)1/2c)5/2d)1Correct answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about For the function f(x) = x2 – 2x + 1we have Rolles point at x = 1. The coordinate axes are then rotated by 45degrees in anticlockwise sense. What is the position of new Rolles point with respect to the transformed coordinate axesa)3/2b)1/2c)5/2d)1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For the function f(x) = x2 – 2x + 1we have Rolles point at x = 1. The coordinate axes are then rotated by 45degrees in anticlockwise sense. What is the position of new Rolles point with respect to the transformed coordinate axesa)3/2b)1/2c)5/2d)1Correct answer is option 'A'. Can you explain this answer?.
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