Maths-
General
Easy

Question

The determinant open vertical bar table row a b cell a minus b end cell row b c cell b minus c end cell row 2 1 0 end table close vertical bar is equal to zero if a comma b comma c are in

  1. G. P.    
  2. A. P.    
  3. H. P.    
  4. None of these    

The correct answer is: G. P.


    On expanding, negative a left parenthesis b minus c right parenthesis plus 2 b left parenthesis b minus c right parenthesis plus left parenthesis a minus b right parenthesis left parenthesis b minus 2 c right parenthesis equals 0
    Þ negative a b plus a c plus 2 b to the power of 2 end exponent minus 2 b c plus a b minus 2 a c minus b to the power of 2 end exponent plus 2 b c equals 0
    Þ b to the power of 2 end exponent minus a c equals 0 Þ b to the power of 2 end exponent equals a c.

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