Let = _ k=1 ^ ^ 2 k ( 6 ) Let g : [0, 1] → R be the function defined by g ( x ) = 2 α x +…
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Let \(\alpha=\sum_{k=1}^{\infty} \sin ^{2 k}\left(\frac{\pi}{6}\right)\)
Let g : [0, 1] → R be the function defined by
g(x) = 2αx + 2α(1 – x)
Then, which of the following statements is/are true?
Let g : [0, 1] → R be the function defined by
g(x) = 2αx + 2α(1 – x)
Then, which of the following statements is/are true?
- The minimum value of g(x) is 27/6
- The maximum value of g(x) is 1 + 21/3
- The function g(x) attains its maximum at more one point
- The function g(x) attains its minimum at more than one point
Answer
(D) The function g ( x ) attains its minimum at more than one point
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