Maths-
General
Easy

Question

Set of equations a plus b minus 2 c equals 0 , 2 a minus 3 b plus c equals 0 and a minus 5 b plus 4 c equals alphais consistent for alphaequal to

  1. 1    
  2. 0    
  3. –1    
  4. 2    

The correct answer is: 0


    a plus b minus 2 c equals 0
    2 a minus 3 b plus c equals 0
    a minus 5 b plus 4 c equals alpha
    System is consistent, if D equals open vertical bar table row 1 1 cell negative 2 end cell row 2 cell negative 3 end cell 1 row 1 cell negative 5 end cell 4 end table close vertical bar=0
    and D subscript 1 end subscript equals open vertical bar table row 0 1 cell negative 2 end cell row 0 cell negative 3 end cell 1 row alpha cell negative 5 end cell 4 end table close vertical bar= 0 and D subscript 2 end subscript also zero.
    Hence, value of alphais zero.

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