AIEEE Mathematics (2005)

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AIEEE Mathematics (2005)

Created by Quizmagic Team on Jan 09, 2013 07:03 PM.

There are 25 questions of AIEEE Mathematics examination of year 2005 in this quiz.

Top 5 Scores

	Molu Nair	87 00:36
	Anonymous	77 01:00
	Anonymous	74 01:48
	Anonymous	73 00:50
	Anonymous	72 00:42

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Last played on Oct 27, 2020. View comments

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AIEEE Mathematics 2005

Sample Questions

Question 1

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thicknessthan melts at a rate of 50 cm³/min. When the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases, is

(1/18π) cm/min
(1/36π) cm/min
(1/54π) cm/min
(5/6π) cm/min

Question 2

If the plane 2ax − 3ay + 4az + 6 = 0 passes through the midpoint of the line joiningthe centres of the spheres x²+ y²+ z²+ 6x − 8y − 2z = 13 and x²+ y²+ z²− 10x + 4y −2z = 8, then a equals

1
-2
-1
2

Question 3

If a vertex of a triangle is (1, 1) and the mid-points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is

(-1/3, 7/3)
(1/3, 7/3)
(1, 7/3)
(-1, 7/3)

Question 4

If the circles x²+ y²+ 2ax + cy + a = 0 and x²+ y²– 3ax + dy – 1 = 0 intersect in twodistinct points P and Q then the line 5x + by – a = 0 passes through P and Q for

infinitely many values of a
no value of a
exactly one value of a
exactly two values of a

Question 5

If a circle passes through the point (a, b) and cuts the circle x²+ y²= p²orthogonally,then the equation of the locus of its centre is

2ax + 2by – (a²+ b²+ p²) = 0
x²+ y²– 3ax – 4by + (a²+ b²– p²) = 0
2ax + 2by – (a²– b²+ p²) = 0
x²+ y²– 2ax – 3by + (a²– b²– p²) = 0

Question 6

An ellipse has OB as semi minor axis, F and F′ its focii and the angle FBF′ is a rightangle. Then the eccentricity of the ellipse is

1/√3
1/4
1/√2
1/2

Question 7

A and B are two like parallel forces. A couple of moment H lies in the plane of A and B and is contained with them. The resultant of A and B after combining is displaced through a distance

H/(A-B)
H/(A+B)
H/2(A+B)
2H/(A-B)

Question 8

The resultant R of two forces acting on a particle is at right angles to one of them andits magnitude is one third of the other force. The ratio of larger force to smaller one is

3 : 2√2
0.12638888888888888
3 : √2
8.4027777777777771E-2

Question 9

The plane x + 2y – z = 4 cuts the sphere x²+ y²+ z²– x + z – 2 = 0 in a circle of radius

1
3
√2
2

Question 10

Let x_{1_{, x_{2_{, …,x_{n_{_{_{be n observations such that ∑x²_{i_{_{_{=400 and ∑x_{i_{_{_{=80. Then apossible value of n among the following is}}}}}}}}}}}}}}}}

12
15
9
18

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