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AIEEE 2005 Maths Question Paper Mock Test

Medium 75 Questions 90 min 75 marks

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90 min · 75 marks · Full test mode with leaderboard

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Question No: 26Difficulty: mediumMarks: 1mcq

Let α and β be the distinct roots of a x^{2} + b x + c = 0, then lim_{x \to α} \frac{1 - c o s ( a x ^{2} + b x + c )}{( x - α ) ^{2}} is equal to:

Question No: 27Difficulty: mediumMarks: 1mcq

Suppose f (x) is differentiable at x = 1 and lim_{h \to 0} \frac{f ( 1 + h )}{h} = 5, then f^{'} (1) equals:

Question No: 28Difficulty: mediumMarks: 1mcq

Let f be differentiable for all x . If f (1) = - 2 and f^{'} (x) \geq 2 for x \in [1, 6], then:

Question No: 29Difficulty: mediumMarks: 1mcq

If f is a real-valued differentiable function satisfying ∣ f (x) - f (y) ∣ \leq (x - y)^{2} for x, y \in R and f (0) = 0, then f (1) equals:

Question No: 30Difficulty: mediumMarks: 1mcq

If x is so small that x^{3} and higher powers of x may be neglected, then \frac{( 1 + x ) ^{3/2} - ( 1 + \frac{1}{2} x ) ^{3}}{( 1 - x ) ^{1/2}} may be approximated as:

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