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AIEEE Mathematics (2005)

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
Anonymous
33
02:19
Anonymous
30
00:45
Anonymous
30
00:50
Anonymous
30
04:29
Prem NAIR
27
00:44
Questions
25
Minutes
15
High Score
33
02:19
Quiz Played
145
times
Last played on Nov 03, 2016. View comments
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Sample Questions

Question 1
The differential equation representing the family of curves y2 = 2c (x + √c ), where c >0, is a parameter, is of order and degree as follows:
order 1, degree 3
order 2, degree 2
order 1, degree 2
order 1, degree 1
Question 2
Let P be the point (1, 0) and Q a point on the locus y2 = 8x. The locus of mid point of PQ is
x2 – 4y + 2 = 0
x2 + 4y + 2 = 0
y2 + 4x + 2 = 0
y2 - 4x + 2 = 0
Question 3
The value of α for which the sum of the squares of the roots of the equation x2 – (a – 2)x – a – 1 = 0 assume the least value is
0
2
1
3
Question 4
If roots of the equation x2 – bx + c = 0 be two consectutive integers, then b2 – 4c equals
1
2
-2
3
Question 5
If z1and z2 are two non-zero complex numbers such that |z1+ z2| = |z1| + |z2| then argz1 – argz2is equal to
-π/2
0
π/2
Question 6
The normal to the curve x = a(cosθ + θ sinθ), y = a( sin θ - θ cos θ ) at any point ‘θ ’ is such that
it passes through the origin
it is at a constant distance from the origin
it makes angle (π/2) + θwith the x-axis
it passes through (a π/2, -a)
Question 7
If f is a real-valued differentiable function satisfying |f(x) – f(y)| ≤ (x – y)2 , x, y ∈ R and f(0) = 0, then f(1) equals
1
-1
2
0
Question 8
In a triangle ABC, let ∠C = π/2. If r is the inradius and R is the circumradius of the the triangle ABC, then 2 (r + R) equals
a+b+c
b+c
a+b
c+a
Question 9
If cos1x − cos1 y/2 = α , then 4x2 − 4xy cosα + y2 is equal to
4
4 sin2α
2 sin 2α
-4 sin2α
Question 10
The parabolas y2 = 4x and x2 = 4y divide the square region bounded by the lines x =4, y = 4 and the coordinate axes. If S1, S2, S3 are respectively the areas of these parts numbered from top to bottom; then S1 : S2 : S3 is
4.3090277777777776E-2
4.2372685185185187E-2
8.4050925925925932E-2
4.3067129629629629E-2
X
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