Class XII

If A ,B andC be the three square matrices such that A = B + C , then Det A is equal to
  1. none of these
  2. det C
  3. det B
  4. det B + detC
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.
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)
If A and B are any 2 × 2matrices , then det. (A+B) = 0 implies
  1. det A = 0 or det B = 0
  2. det A = 0 and det B = 0
  3. detA + det B =0
  4. none of these
If A, B be two square matrices such that |AB|=O, then
  1. Det.B=0
  2. BA
  3. Det.=A =0
  4. Det. A=0 or Det. B =0 or both A and B =0
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