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AIEEE Mathematics (2011)

Created by Quizmagic Team on Jan 09, 2013 07:08 PM
`This quiz has 20 questions of AIEEE mathematics exam of year 2011. Take this quiz to better prepare yourself for this competitive examination.`
Top 5 Scores
 83 01:11 76 02:02 27 02:06 27 06:00 24 00:28
 Questions 20 Minutes 15 High Score 83 01:11 Quiz Played 451 times
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Sample Questions

Question 1
Let α,β be real and z be a complex number. If z2+ αz +β = 0 has two distinct roots on the line Re z = 1, then it is necessary that:
 β∈ (0, 1) β∈(1,∞) |β| = 1 β∈(-1, 0)
Question 2
The coefficient of x7in the expansion of (1 - x - x2 + x3)6 is
 132 144 -144 -132
Question 3
The line L1 : y - x = 0 and L2 : 2x + y = 0 intersect the line L3 : y + 2 = 0 at P and Q respectively. The bisector of the acute angle between L1 and L2 intersects L3 at R Statement-1:The ratio PR : RQ equals 2√2 : √5 Statement-2:In any triangle bisector of an angle divides the triangle into two similar triangles
 Statement-1 is true, Statement-2 is true,Statement-2 is a correct explanation for Statement-1. Statement-1 is true, Statement-2 is true,Statement-2 is not a correct explanation forStatement-1 Statement-1 is true, Statement-2 is false. Statement-1 is false, Statement-2 is true
Question 4
The domain of the function f(x) = 1/√ (|x|- x) is
 (0,∞) (-∞,∞) (-∞, 0) (-∞,∞) - {0}
Question 5
The shortest distance between line y - x = 1 and curve x = y2 is
 3√2/8 4/√3 8/3√2 √3/4
Question 6
Consider the following statements  P: Suman is brilliant Q : Suman is rich  R: Suman is honest The negation of the statement Suman is brilliant and dishonest if and only if Suman is rich canbe expressed as
 ~ (P∧~ R)↔Q ~P∧(Q↔~ R) ~ Q↔~ P∧R ~ (Q↔(P∧~ R))
Question 7
If ω(≠ 1) is a cube root of unity, and (1 +ω)7=A + Bω . Then (A, B) equals:
 -1, 1 1, 1 0, 1 1, 0
Question 8
If dy/dx = y + 3 > 0 and y(0) = 2, then y(ln 2) is equal to
 5 -2 13 7
Question 9
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3, 1) and has eccentricity √(2/5) is
 3x2 + 5y2 -15 = 0 3x2 + 5y2 -32 = 0 5x2 + 3y2 -48 = 0 5x2 + 3y2 -32 = 0
Question 10
Statement-1:The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is 9C3. Statement-2: The number of ways of choosing any 3 places from 9 different places is 9C3.
 Statement-1 is true, Statement-2 is true;Statement-2 is not a correct explanation forStatement-1 Statement-1 is true, Statement-2 is true;Statement-2 is a correct explanation forStatement-1 Statement-1 is true, Statement-2 is false Statement-1 is false, Statement-2 is true.
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