All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2010 Mathematics

Q. 14. Let 

Statement-1:
Statement-2:

  1. Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  2. Statement-1 is true, Statement-2 is false.
  3. Statement-1 is false, Statement-2 is true.
  4. Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.

Sol :

Answer (2)

Q 15. Let A be a  2 x 2 matrix with non-zero entries and let A2 =1 , where I is 2 x2 identity matrix. Define Tr=(A) sum of diagonal elements of A and  = determinant of matrix A.

Statement-1: = Tr(A) =0
 Statement-2: =

  1. Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  2. Statement-1 is true, Statement-2 is false.
  3. Statement-1 is false, Statement-2 is true.
  4. Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

Sol :

Answer: (2)