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AIEEE 2010 PYQ Mock Test

Medium 90 Questions 89 min 90 marks

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89 min · 90 marks · Full test mode with leaderboard

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Question No: 66Difficulty: mediumMarks: 1mcq

The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and x = \frac{3 π}{2} is:

Question No: 67Difficulty: easyMarks: 1mcq

If two tangents drawn from a point P to the parabola y^{2} = 4 x are at right angles, then the locus of P is:

Question No: 68Difficulty: easyMarks: 1mcq

If the vectors a = \hat{i} - \hat{j} + 2 \hat{k}, b = 2 \hat{i} + 4 \hat{j} + \hat{k} and c = λ \hat{i} + \hat{j} + μ \hat{k} are mutually orthogonal, then (λ, μ) =

Question No: 69Difficulty: mediumMarks: 1mcq

Consider the following relations: R = {(x, y) ∣ x, y \in R and x = w y for some rational number w}; S = {(\frac{m}{n}, \frac{p}{q}) ∣ m, n, p, q \in Z, n, q \neq = 0 and q m = p n} . Then:

Question No: 70Difficulty: mediumMarks: 1mcq

Let f : R \to R be defined by f (x) = {k - 2 x, 2 x + 3, if x \leq - 1 if x > - 1 . If f has a local minimum at x = - 1, then a possible value of k is:

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