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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
 33 02:01 33 02:19 30 00:45 30 00:50 30 04:29
 Questions 25 Minutes 15 High Score 33 02:01 Quiz Played 163 times
Last played on Oct 08, 2017. 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 2, degree 2 order 1, degree 1 order 1, degree 3 order 1, degree 2
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
 y2 - 4x + 2 = 0 x2 + 4y + 2 = 0 x2 – 4y + 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
 1 3 2 0
Question 4
If roots of the equation x2 – bx + c = 0 be two consectutive integers, then b2 – 4c equals
 -2 2 1 3
Question 5
If z1and z2 are two non-zero complex numbers such that |z1+ z2| = |z1| + |z2| then argz1 – argz2is equal to
 0 π/2 -π -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 (a π/2, -a) it is at a constant distance from the origin it passes through the origin it makes angle (π/2) + θwith the x-axis
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 2 0 1
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 a+b b+c c+a
Question 9
If cos1x − cos1 y/2 = α , then 4x2 − 4xy cosα + y2 is equal to
 4 -4 sin2α 4 sin2α 2 sin 2α
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
 0.0430903 0.0840509 0.0430671 0.0423727
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