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CUET Mathematics Mock Test - 1

Medium 50 Questions 50 min 50 marks 10 attempts

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Question No: 26Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

The function f (x) = sin^{4} x + cos^{4} x increases monotonically if:

Question No: 27Difficulty: mediumMarks: 1mcqAnswered correctly: 17%

The value of ' c' in Rolle's Theorem for the function f (x) = cos \frac{x}{2} on the interval [π, 3 π] is:

Question No: 28Difficulty: mediumMarks: 1mcqAnswered correctly: 8%

What should be the value of k such that the function f (x) = {\frac{k s i n ( π - x )}{π - x}, 1, if x \neq = π if x = π is continuous at x = π ?

Question No: 29Difficulty: mediumMarks: 1mcqAnswered correctly: 17%

Let f be a differentiable function defined for all x \in R such that f (x^{3}) = x^{5} for all x \neq = 0 . Then the value of \frac{df}{d x} (8) is:

Question No: 30Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

Suppose the function f (x) = x^{n}, n \neq = 0 is differentiable for all x . Then n can be any element of the interval:

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