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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: 31Difficulty: mediumMarks: 1mcq

If x = \sum_{n = 0}^{\infty} a^{n}, y = \sum_{n = 0}^{\infty} b^{n}, z = \sum_{n = 0}^{\infty} c^{n} where a, b, c are in A.P. and ∣ a ∣ < 1, ∣ b ∣ < 1, ∣ c ∣ < 1, then x, y, z are in:

Question No: 32Difficulty: mediumMarks: 1mcq

In a triangle A BC, let ∠ C = \frac{π}{2} . If r is the inradius and R is the circumradius of the triangle, then 2 (r + R) equals:

Question No: 33Difficulty: mediumMarks: 1mcq

If cos^{- 1} x - cos^{- 1} \frac{y}{2} = α, then 4 x^{2} - 4 x y cos α + y^{2} is equal to:

Question No: 34Difficulty: mediumMarks: 1mcq

If in a triangle A BC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then sin A, sin B, sin C are in:

Question No: 35Difficulty: mediumMarks: 1mcq

If I_{1} = \int_{0}^{1} 2^{x^{2}} d x, I_{2} = \int_{0}^{1} 2^{x^{3}} d x, I_{3} = \int_{1}^{2} 2^{x^{2}} d x and I_{4} = \int_{1}^{2} 2^{x^{3}} d x, then:

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