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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: 46Difficulty: mediumMarks: 1mcq

The angle between the lines 2 x = 3 y = - z and 6 x = - y = - 4 z is:

Question No: 47Difficulty: mediumMarks: 1mcq

If the plane 2 a x - 3 a y + 4 a z + 6 = 0 passes through the midpoint of the line joining the centres of the spheres x^{2} + y^{2} + z^{2} + 6 x - 8 y - 2 z = 13 and x^{2} + y^{2} + z^{2} - 10 x + 4 y - 2 z = 8, then a equals:

Question No: 48Difficulty: mediumMarks: 1mcq

The distance between the line r = (2 \hat{i} - 2 \hat{j} + 3 \hat{k}) + λ (\hat{i} - \hat{j} + 4 \hat{k}) and the plane r \cdot (\hat{i} + 5 \hat{j} + \hat{k}) = 5 is:

Question No: 49Difficulty: mediumMarks: 1mcq

For any vector a, the value of ∣ a \times \hat{i} ∣^{2} + ∣ a \times \hat{j} ∣^{2} + ∣ a \times \hat{k} ∣^{2} is equal to:

Question No: 50Difficulty: mediumMarks: 1mcq

If non-zero numbers a, b, c are in H.P., then the straight line \frac{x}{a} + \frac{y}{b} + \frac{1}{c} = 0 always passes through a fixed point. That point is:

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