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BITSAT2011MathematicsStraight LinesActual

The family of straight lines ((2 a+3 b) x+(a-b) y+2 a-4 b=0 ) is concurrent at the point

Options

  1. A( ( 2 5 , -14 5 ) )
  2. B( ( -2 5 , -14 5 ) )
  3. C( ( -2 5 , 14 5 ) )
  4. D( ( 2 5 , 14 5 ) )

Correct answer

A. ( ( 2 5 , -14 5 ) )

Step-by-step solution

Rewriting the equation ((2 x+y+2) a+(3 x-y-4) b=0 ) and for all (a ), ( b ) the straight lines pass through the intersection of (2 x+y+2=0 ) and (3 x-y-4=0 ) i.e., the point ( ( 2 5 ,- 14 5 ) ).

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