AIEEE Mathematics (2011)

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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

	Anonymous	83 01:11
	Anonymous	76 02:02
	Anonymous	27 02:06
	Anonymous	27 06:00
	Anonymous	24 00:28

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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∈(-1, 0)
β∈ (0, 1)
β∈(1,∞)
\|β\| = 1

Question 2

The coefficient of x⁷in the expansion of (1 - x - x² + x³)⁶ is

-144
144
-132
132

Question 3

The line L_{1_{_{_{: y - x = 0 and L_{2_{_{_{: 2x + y = 0 intersect the line L_{3_{_{_{: y + 2 = 0 at P and Q respectively. The bisector of the acute angle between L_{1_{_{_{and L_{2_{_{_{intersects L_{3_{_{_{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 false.
Statement-1 is false, Statement-2 is true
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 for Statement-1.

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
8/3√2
√3/4
4/√3

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

~ Q↔~ P∧R
~P∧(Q↔~ R)
~ (P∧~ R)↔Q
~ (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, 0
1, 1
-1, 1
0, 1

Question 8

If dy/dx = y + 3 > 0 and y(0) = 2, then y(ln 2) is equal to

13
5
-2
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

5x² + 3y² -48 = 0
3x² + 5y² -15 = 0
3x² + 5y² -32 = 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 ⁹C_{3_{_{._{_{_{Statement-2: The number of ways of choosing any 3 places from 9 different places is
⁹C_{3_{_.}}}}}}}}

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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