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KCET2017MathematicsDeterminants

If ( 2 [ array ll 1 & 3 0 & x array ]+ [ array ll y & 0 1 & 2 array ]= [ array ll 5 & 6 1 & 8 array ] ) then the value of ( x ) and ( y ) are

Options

  1. A( x=3, y=3 )
  2. B( x=-3, y=3 )
  3. C( x=3, y=-3 )
  4. D( x=-3, y=-3 )

Correct answer

A. ( x=3, y=3 )

Step-by-step solution

Given that, 2 [ array cc 1 & 3 0 & x array ]+ [ array ll y & 0 1 & 2 array ]= [ array ll 5 & 6 1 & 8 array ] [ array cc 2+y & 6 1 & 2 x+2 array ]= [ array ll 5 & 6 1 & 8 array ] Equating first elements, we have 2+y=5 y=3 Equating last elements, we have 2 x+2=8 x=3 Therefore, x=3, y=3 .

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