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AIEEE Mathematics (2007)

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
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42
14:20
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21
01:31
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21
04:34
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18
00:18
Anonymous
18
01:04
Questions
15
Minutes
15
High Score
42
14:20
Quiz Played
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Last played on Nov 09, 2016. 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/4)
(-π/2, π/2)
(0, π/2)
(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
(1/2) loge3
loge3
log3e
2log3e
Question 3
For the hyperbola (x2/cos2α) - (y2/sin2α) = 1  which of the following remains constant when α varies?
eccentricity
abscissae of foc
abscissae of vertices
directrix
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 12 kg
5 kg and 13 kg
Question 5
A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
8/729
8/9
1/729
8/243
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
k ≥ 1/2
− 1/2 ≤ k ≤ 1/2
0 < 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
X
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