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CUET Mathematics Mock Test - 1

Medium 50 Questions 50 min 50 marks 10 attempts

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Question No: 31Difficulty: mediumMarks: 1mcqAnswered correctly: 8%

What is the slope of the tangent to the curve x = t^{2} + 3 t - 8, y = 2 t^{2} - 2 t - 5 at t = 2 ?

Question No: 32Difficulty: mediumMarks: 1mcqAnswered correctly: 8%

If f^{'} (x) = \frac{x ^{2}}{2} - k x + 1, such that f (0) = 0 and f (3) = 15 . Find the value of k .

Question No: 33Difficulty: mediumMarks: 1mcqAnswered correctly: 8%

For the function f (x) = x + \frac{1}{x}, x \in [1, 3], the value of c for Lagrange's Mean Value Theorem is:

Question No: 34Difficulty: mediumMarks: 1mcqAnswered correctly: 17%

What is the integral of f (x) = 1 + x^{2} + x^{4} with respect to x^{2} ?

Question No: 35Difficulty: mediumMarks: 1mcqAnswered correctly: 8%

The area cut off the parabola 4 y = 3 x^{2} by the straight line 2 y = 3 x + 12 is:

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