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AIEEE Mathematics (2004)

AIEEE Mathematics (2004)
Created by Quizmagic Team on Jan 09, 2013 07:03 PM 
There are 25 questions of AIEEE Maths examination of year 2004 in this quiz. Take this quiz with previous year questions and improve your mathematics for this competitive examination.
Top 5 Scores
Anonymous
36
00:48
Anonymous
36
00:55
Henjie Carmelotes
33
00:35
Anonymous
33
00:45
Anonymous
33
00:50
Questions
25
Minutes
15
High Score
36
00:48
Quiz Played
187
times
Last played on Apr 10, 2020. View comments
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Sample Questions

Question 1
A particle moves towards east from a point A to a point B at the rate of 4 km/h and then towards north from B to C at the rate of 5 km/h. If AB = 12 km and BC = 5 km, then its average speed for its journey from A to C and resultant average velocity direct from A to Care respectively.
(13/4) km/h and (17/4) km/h
(13/9) km/h and (17/9) km/h
(17/4) km/h and (13/4)km/h
(17/9) km/h and (13/9) km/h
Question 2
If t1 and t2 are the times of flight of two particles having the same initial velocity u and range R on the horizontal, then t12 + t22 is equal to
u2/g
u2/2g
4u2/g2
1
Question 3
A line makes the same angle θ, with each of the x and z axis. If the angle β , which it makes with y-axis, is such that sin2β = 3sin2θ , then  cos2θ  equals
1/5
2/5
3/5
2/3
Question 4
The eccentricity of an ellipse, with its centre at the origin, is 1/2. If one of the directrices is x =4, then the equation of the ellipse is
4x2 + 3y2 = 12
3x2 + 4y2 = 12
4x2 + 3y2 = 1
3x2 + 4y2 = 1
Question 5
If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas y2 = 4ax and x2 = 4ay, then
d2 + (3b + 2c)2 = 0
d2 + (3b - 2c)2 = 0
d2 + (2b + 3c)2 = 0
d2 + (2b - 3c)2 = 0
Question 6
The intercept on the line y = x by the circle  x2 + y2 - 2x = 0  is AB. Equation of the circle on AB as a diameter is
x2 + y2 -x -y = 0
x2 + y2 + x - y = 0
x2 + y2 + x + y = 0
x2 + y2 -x + y = 0
Question 7
If the lines 2x + 3y + 1 = 0 and 3x – y – 4 = 0 lie along diameters of a circle of circumference 10π , then the equation of the circle is
x2 + y2 - 2x + 2y -23 = 0
x2 + y2 - 2x - 2y -23 = 0
x2 + y2 + 2x + 2y -23 = 0
x2 + y2 + 2x - 2y -23 = 0
Question 8
If a circle passes through the point (a, b) and cuts the circle x2 + y2 = 4 orthogonally, then the locus of its centre is
2ax + 2by – (a2 + b2 + 4 ) = 0
2ax + 2by +(a2 + b2 + 4) = 0
2ax - 2by - (a2 + b2 + 4 ) = 0
2ax - 2by + (a2 + b2 + 4 ) = 0
Question 9
If one of the lines given by 6x2 - xy + 4cy2 = 0 is 3x + 4y = 0, then c equals
-1
1
3
-3
Question 10
If the sum of the slopes of the lines given by x2 - 2cxy - 7y2 = 0 is four times their product, then c has the value
1
2
-2
-1
X
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