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AIEEE 2003 (Maths) Mock Test

Medium 75 Questions 180 min 75 marks

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180 min · 75 marks · Full test mode with leaderboard

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Question No: 51Difficulty: mediumMarks: 1mcq

The normal at the point (b t_{1}^{2}, 2 b t_{1}) on a parabola meets the parabola again in the point (b t_{2}^{2}, 2 b t_{2}), then:

Question No: 52Difficulty: mediumMarks: 1mcq

The foci of the ellipse \frac{x ^{2}}{16} + \frac{y ^{2}}{b ^{2}} = 1 and the hyperbola \frac{x ^{2}}{144} - \frac{y ^{2}}{81} = \frac{1}{25} coincide. Then the value of b^{2} is:

Question No: 53Difficulty: mediumMarks: 1mcq

A tetrahedron has vertices at O (0, 0, 0), A (1, 2, 1), B (2, 1, 3) and C (- 1, 1, 2) . Then the angle between the faces O A B and A BC will be:

Question No: 54Difficulty: mediumMarks: 1mcq

The radius of the circle in which the sphere x^{2} + y^{2} + z^{2} + 2 x - 2 y - 4 z - 19 = 0 is cut by the plane x + 2 y + 2 z + 7 = 0 is:

Question No: 55Difficulty: mediumMarks: 1mcq

The lines \frac{x - 1}{2} = \frac{y - 3}{1} = \frac{z - 4}{k} and \frac{x - 1}{k} = \frac{y - 4}{2} = \frac{z - 5}{1} are coplanar if:

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