AIEEE Mathematics (2006)

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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

	Anonymous	88 00:41
	Anonymous	73 00:40
	Anonymous	64 00:43
	Anonymous	54 00:44
	Anonymous	49 00:38

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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
aa′+ cc′= −1
(a/a')+(c/c')= -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

not reflexive, symmetric and transitive
reflexive, symmetric and transitive
reflexive, not symmetric and transitive
reflexive, symmetric and not transitive

Question 3

The function f(x)=(x/2)+(2/x) has a local minimum a

x= -2
x= 1
x= 2
x= 0

Question 4

If a_{1_{, a_{2_{, … , a_{n_{_{_{are in H.P., then the expression a_{1_{a_{2_{+ a_{2_{a_{3_{+ … + a_{n_{−_{1_{a_{n_{_{_{is equal to}}}}}}}}}}}}}}}}}}}}}}}}

na_{1_{a_n}}
(n-1)a_{1_n₁}
(n-1)(a_{1_{- a_n₎}}
n(a_{1_{- a_n₎}}

Question 5

The image of the point (−1, 3, 4) in the plane x−2y = 0 is

(15, 11, 4)
(-17/3, -19/3, 4)
(-17/3, -19/3, 1)
(9/5, -13/5, 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 = 1
x²+y²= 3/2
x²+y² = 27/4
x²+y² = 9/4

Question 7

The differential equation whose solution is Ax²+ By²= 1, where A and B are arbitraryconstants is of

second order and first degree
first order and first degree
first order and second degree
second order and second degree

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