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## AIEEE Mathematics (2007)

Created by Quizmagic Team on Jan 09, 2013 07:04 PM
`There are 15 questions of AIEEE Maths examination of year 2007 in this quiz. Take this quiz with previous year questions and improve your mathematics for this competitive examination.`
Top 5 Scores
 42 14:20 21 01:31 21 04:34 18 00:18 18 01:04
 Questions 15 Minutes 15 High Score 42 14:20 Quiz Played 171 times
Last played on Apr 02, 2017. View comments
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### Sample Questions

Question 1
The function f(x) = tan1(sinx + cosx) is an increasing function in
 (-π/2, π/2) (0, π/2) (-π/2, π/4) (π/4, π/2)
Question 2
A value of C for which the conclusion of Mean Value Theorem holds for the function f(x) =logex on the interval [1, 3] is
 log3e loge3 2log3e (1/2) loge3
Question 3
For the hyperbola (x2/cos2α) - (y2/sin2α) = 1  which of the following remains constant when α varies?
 abscissae of foc directrix abscissae of vertices eccentricity
Question 4
A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their other ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are
 5 kg and 5 kg 12 kg and 13 kg 5 kg and 13 kg 5 kg and 12 kg
Question 5
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
 1/729 8/243 8/729 8/9
Question 6
Consider a family of circles which are passing through the point (−1, 1) and are tangent to x-axis. If (h, k) are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval
 k≤  1/2 − 1/2 ≤ k ≤ 1/2 0 < k <1/2 k ≥ 1/2
Question 7
A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (= a) subtends an angle of 60° at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30° . The height of the tower is
 a√3 2a√3 2a/√3 a/√3
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