Class XII

If a square matrix A has two identical rows or columns , then det.A is :
  1. none of these
  2. -1
  3. 0
  4. 1
The number of solutions of 2x + y = 4, x – 2y = 2, 3 x + 5y = 6 is
  1. none
  2. One
  3. Two
  4. infinitely many
If the system of equationsx + 4 ay + az = 0, x + 3by + bz = 0 andx + 2 cy +cz = 0 have a non-zero solution,then a, b, c are in
  1. none of these
  2. A.P
  3. H.P
  4. G.P
If the system of equationsx + 4 ay + az = 0, x + 3by + bz = 0 andx + 2 cy +cz = 0 have a non-zero solution,then a, b, c are in
  1. none of these
  2. A.P
  3. H.P
  4. G.P
The system of equations x + 2y = 11,-2 x – 4y = 22 has
  1. no solution
  2. only one solution
  3. infinitely many solutions.
  4. finitely many solution
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