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## AIEEE Mathematics (2010)

Created by Quizmagic Team on Jan 09, 2013 07:08 PM
`This quiz has 10 questions of AIEEE mathematics exam of year 2010. This quiz will be a good preparation for the competitive examination.`
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 60 01:11 46 01:06 42 00:25 38 00:16 38 00:31
 Questions 10 Minutes 15 High Score 60 01:11 Quiz Played 203 times
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### Sample Questions

Question 1
Let A be a 2 × 2 matrix with non-zero entries and let A2 = I, where I is 2 × 2 identity matrix. DefineTr(A) = sum of diagonal elements of A and |A| = determinant of matrix A. Statement-1: Tr(A) = 0 Statement-2: |A| = 1
 Statement-1 is true, Statement-2 is false Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 ) Statement-1 is false, Statement-2 is true Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1
Question 2
Statement-1: The point A(3, 1, 6) is the mirror image of the point B(1, 3, 4) in the plane x – y + z = 5. Statement-2: The plane x – y + z = 5 bisects the line segment joining A(3, 1, 6) and B(1, 3, 4)
 Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 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 the correct explanation for Statement-1
Question 3
Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ....., 20} Statement-1: The probability that the chosen numbers when arranged in some order will form an AP is 18/5. Statement-2: If the four chosen numbers from an AP, then the set of all possible values of commondifference is { ±1, ±2, ±3, ±4, ±5}.
 Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation for Statement-1 Statement-1 is false, Statement-2 is true Statement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation for Statement-1 Statement-1 is true, Statement-2 is false
Question 4
The number of 3 × 3 non-singular matrices, with four entries as 1 and all other entries as 0, is
 atleast 7 6 5 less than 4
Question 5
The area bounded by the curves y = cos x and y = sin x between the ordinates x = 0 and x = 3π/2 is
 4√2 + 1 4√2 - 2 4√2 + 2 4√2 - 1
X
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