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Matrices

Question
CBSEENMA12036137
Wired Faculty App

Let a, b, c be such that 0 (a +c) ≠ . If open vertical bar table row cell space space space straight a end cell cell straight a plus 1 end cell cell space space straight a minus 1 end cell row cell negative straight b end cell cell straight b plus 1 end cell cell space space straight b minus 1 end cell row cell space space space straight c end cell cell space straight c minus 1 end cell cell space space straight c plus 1 end cell end table close vertical bar plus open vertical bar table row cell straight a plus 1 end cell cell straight b plus 1 end cell blank row cell straight a minus 1 end cell cell straight b minus 1 end cell cell straight c plus 1 end cell row cell left parenthesis negative 1 right parenthesis to the power of straight n plus 2 end exponent straight a end cell cell left parenthesis negative 1 right parenthesis to the power of straight n plus 1 end exponent straight b end cell cell left parenthesis negative 1 right parenthesis to the power of straight n space straight c end cell end table close vertical bar space equals space 0,then the value of 'n' is 

  • 0

  • any even integer

  • any odd integer

  • any integer

Solution

C.

any odd integer

open vertical bar table row straight a cell negative straight b end cell straight c row cell straight a plus 1 end cell cell straight b plus 1 end cell cell straight c minus 1 end cell row cell straight a minus 1 end cell cell straight b minus 1 end cell cell straight c plus 1 end cell end table close vertical bar open vertical bar table row cell left parenthesis negative 1 right parenthesis to the power of straight n plus 2 end exponent straight a end cell cell left parenthesis negative 1 right parenthesis to the power of straight n plus 1 end exponent straight b end cell cell left parenthesis negative 1 right parenthesis to the power of straight n space straight c end cell row cell straight a plus 1 end cell cell straight b plus 1 end cell cell straight c minus 1 end cell row cell straight a minus 1 end cell cell straight b minus 1 end cell cell straight c plus 1 end cell end table close vertical bar space equals space open vertical bar table row cell straight a left parenthesis 1 plus left parenthesis negative 1 right parenthesis to the power of straight n right parenthesis end cell cell left parenthesis negative straight b right parenthesis left parenthesis 1 plus left parenthesis negative 1 right parenthesis to the power of straight n right parenthesis end cell cell straight c left parenthesis 1 plus left parenthesis negative 1 right parenthesis to the power of straight n end cell row cell straight a plus 1 end cell cell straight b plus 1 end cell cell straight c minus 1 end cell row cell straight a minus 1 end cell cell straight b minus 1 end cell cell straight c plus 1 end cell end table close vertical bar space equals space 0

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