Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  Let f(x) = x2− 2x +2 be a continuous fu... Start Learning for Free
Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of   f (x) becomes parallel to the straight line joining f (1) and f (3) is 
  • a)
    1
  • b)
    0
  • c)
    3
  • d)
    2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Let f(x) = x2− 2x +2 be a continuous function defined on x &isin...
According to question, f (x) = x2− 2 x + 2



2x −2 = 2
x = 2
Free Test
Community Answer
Let f(x) = x2− 2x +2 be a continuous function defined on x &isin...
Explanation:

Given function:
f(x) = x^2 - 2x + 2

Interval:
x ∈ [1, 3]

Find the derivative of the function:
f'(x) = 2x - 2

Find the slope of the line joining f(1) and f(3):
Slope = (f(3) - f(1))/(3 - 1)
= (9 - 1)/(3 - 1)
= 4

Set the derivative equal to the slope:
2x - 2 = 4
2x = 6
x = 3
Therefore, the point x at which the tangent of f(x) becomes parallel to the straight line joining f(1) and f(3) is x = 3. So, the correct answer is option 'D'.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer?
Question Description
Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer?.
Solutions for Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let f(x) = x2− 2x +2 be a continuous function defined on x ∈[1, 3] . The point x at which the tangent of f (x) becomes parallel to the straight line joining f (1) and f (3) isa)1b)0c)3d)2Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev