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## AIEEE Mathematics (2006)

Created by Quizmagic Team on Jan 09, 2013 07:03 PM
`This quiz has15 questions of AIEEE Mathematics examination of year 2006.`
Top 5 Scores
 73 00:40 21 02:12 18 00:19 18 00:22 18 00:33
 Questions 15 Minutes 15 High Score 73 00:40 Quiz Played 178 times
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### Sample Questions

Question 1
The two lines x = ay + b, z = cy + d; and x = a′y + b′, z = c′y + d′ are perpendicular to each other if
 (a/a')+(c/c')= -1 aa′+ cc′= −1 (a/a')+(c/c')= 1 aa′+ cc′= 1
Question 2
Let W denote the words in the English dictionary. Define the relation R by :R = {(x, y) ∈ W × W | the words x and y have at least one letter in common}. Then R is
 reflexive, symmetric and not transitive reflexive, symmetric and transitive reflexive, not symmetric and transitive not reflexive, symmetric and transitive
Question 3
The function f(x)=(x/2)+(2/x) has a local minimum a
 x= 0 x= 2 x= -2 x= 1
Question 4
If a1, a2, … , an are in H.P., then the expression a1a2+ a2a3+ … + an1an is equal to
 (n-1)a1n1 (n-1)(a1 - an) na1an n(a1 - an)
Question 5
The image of the point (−1, 3, 4) in the plane x−2y = 0 is
 (-17/3, -19/3, 4) (-17/3, -19/3, 1) (9/5, -13/5, 4) (15, 11, 4)
Question 6
Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of 2π/3 at its centreis
 x2+y2 = 27/4 x2+y2= 3/2 x2+y2 = 9/4 x2+y2 = 1
Question 7
The differential equation whose solution is          Ax2+ By2= 1, where A and B are arbitraryconstants is of
 second order and second degree second order and first degree first order and first degree first order and second degree
X
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