AIEEE Mathematics (2007)

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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

	Anonymous	42 14:20
	Anonymous	21 01:31
	Anonymous	21 04:34
	Anonymous	18 00:18
	Anonymous	18 00:23

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Sample Questions

Question 1

The function f(x) = tan⁻¹(sinx + cosx) is an increasing function in

(-π/2, π/2)
(0, π/2)
(π/4, π/2)
(-π/2, π/4)

Question 2

A value of C for which the conclusion of Mean Value Theorem holds for the function f(x) =log_{e_x}on the interval [1, 3] is

2log_{3_e}
log_e₃
log_{3_e}
(1/2) log_e₃

Question 3

For the hyperbola (x²/cos²α) - (y²/sin²α) = 1 which of the following remains constant when α varies?

abscissae of foc
abscissae of vertices
directrix
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 13 kg
12 kg and 13 kg
5 kg and 5 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

8/729
1/729
8/9
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
0 < k <1/2
k ≥ 1/2
− 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

2a√3
a/√3
a√3
2a/√3

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