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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: 11Difficulty: mediumMarks: 1mcq

If the coefficients of r^{th}, (r + 1)^{th} and (r + 2)^{th} terms in the binomial expansion of (1 + y)^{m} are in A.P., then m and r satisfy the equation:

Question No: 12Difficulty: mediumMarks: 1mcq

In a triangle PQR, ∠ R = \frac{π}{2} . If tan \frac{P}{2} and tan \frac{Q}{2} are the roots of a x^{2} + b x + c = 0, a \neq = 0, then:

Question No: 13Difficulty: mediumMarks: 1mcq

The system of equations: αx + y + z = α - 1, x + α y + z = α - 1, x + y + α z = α - 1 has no solution, if α is:

Question No: 14Difficulty: mediumMarks: 1mcq

The value of a for which the sum of the squares of the roots of the equation x^{2} - (a - 2) x - a - 1 = 0 assumes the least value is:

Question No: 15Difficulty: mediumMarks: 1mcq

If roots of the equation x^{2} - b x + c = 0 are two consecutive integers, then b^{2} - 4 c equals:

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