Class XII

A determinant is unaltered , if
  1. Two rows are interchanged
  2. Two columns are interchanged
  3. Every element in a column is multiplied by the same factor
  4. To each element of any row is added the corresponding element of the other row multiplied by a given factor
The point (3, 2 ) is reflected in the y – axis and then moved a distance of 5 units towards the negative side of y – axis .The co – ordinates of the point thus obtained are
  1. (3,–3)
  2. (–3,3)
  3. (–3,–3)
  4. (3,3)
The system of equationsx+2y =5 , 4x+8y =20 has
  1. no solution
  2. a unique solution
  3. infinitely many solutions
  4. none of these.
If the entries in a 3 x 3 determinant are either 0 or 1 , then the greatest value of this determinant is :
  1. 1
  2. 0
  3. None of these
  4. 2
In a third order determinant , each element of the first column consists of sum of two terms , each element of the second column consists of sum of three terms and each element of the third column consists of sum of four terms . Then it can be decomposed into n determinants , where n has value
  1. 1
  2. 24
  3. 9
  4. 16
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