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## AIEEE Mathematics (2003)

Created by Quizmagic Team on Jan 09, 2013 07:02 PM.
`There are 25 questions of AIEEE Mathematics examination of year 2003. Take this quiz to test your knowledge of mathematics and prepare yourself for this competitive examination.`
Top 5 Scores
 106 01:45 82 01:14 82 01:44 78 01:13 76 02:46
 Questions 25 Minutes 15 High Score 106 01:45 Quiz Played 171 times
Last played on Dec 16, 2020View comments
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### Sample Questions

Question 1
Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr.A selected the winning horse is
 1/5 2/5 3/5 4/5
Question 2
The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then the equation of the circle is
 x2 + y2 + 2x - 2y = 62 x2 + y2 + 2x - 2y = 47 x2 + y2 - 2x + 2y = 47 x2 + y2 - 2x + 2y = 62
Question 3
Let Z1 and Z2 be two roots of the equation x2 + aZ + b = 0 being complex. Further, assume that the origin, Z1 and Z2 form an equilateral triangle. Then
 a2 = b a2 = 3b a2 = 2b a2 = 4b
Question 4
If z and ω are two non-zero complex numbers such that |zω| =1 and Arg(z) - Arg(ω) = π/2, then  z̅ ω is equal to
 1 -1 i -i
Question 5
If x1 , x2 , x3 and y1 , y2 , y3 are both in G.P. with the same common ratio, then the points (x1 , y1), (x2 , y2) and (x3 ,y3)
 lie on a straight line lie on a circle lie on an ellipse are vertices of a triangle
Question 6
The two lines x = ay + b, z = cy + d and x = a′ y + b′ z =  c′ y + d′ will be perpendicular, if and only if
 aa′ + c c′ + 1 = 0 (a + a′) (b + b′ ) + (c +  c′ ) = 0 aa′ + bb′ + c c′ + 1= 0 aa′ + bb′ + c c′ = 0
Question 7
The shortest distance from the plane 12x + 4y + 3z = 327 to the sphere x2 + y2 + z2 + 4x - 2y - 6z = 155 is
 39 147/13 13 26
Question 8
The area of the region bounded by the curves y = |x −1| and y = 3− |x| is
 4 sq. units 6 sq. units 2 sq. units 3 sq. units
Question 9
The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively, then P (X = 1) is
 1/8 1/4 1/32 1/16
Question 10
Locus of a centriod of the triangle whose vertices are (a cos t, a sin t), (b sin t, -b cost) and (1, 0), where t is a parameter, is
 (3x - 1)2 + (3y)2 = a2 - b2 (3x + 1)2 + (3y)2 = a2 + b2 (3x - 1)2 + (3y)2 = a2 + b2 (3x + 1)2 + (3y)2 = a2 - b2