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## 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
 36 00:55 33 00:35 33 00:45 33 00:50 33 00:53
 Questions 25 Minutes 15 High Score 36 00:55 Quiz Played 171 times
Last played on Sep 24, 2017. 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 (17/4) km/h and (13/4)km/h (17/9) km/h and (13/9) km/h (13/9) km/h and (17/9) 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
 1 4u2/g2 u2/2g u2/g
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
 3/5 2/5 2/3 1/5
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
 3x2 + 4y2 = 12 3x2 + 4y2 = 1 4x2 + 3y2 = 1 4x2 + 3y2 = 12
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 -3 3 -1
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
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