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AP EAMCET202021 Sep 2020Evening ShiftMathematicsStraight LinesActual

If (3 a+5 b+6 c=0 ) then the family of lines (a x+b y+c=0 ) pass through the fixed point

Options

  1. A( ( 5 6 , 1 2 ) )
  2. B( ( 1 2 , 1 3 ) )
  3. C( ( 1 3 , 1 2 ) )
  4. D( ( 1 2 , 5 6 ) )

Correct answer

D. ( ( 1 2 , 5 6 ) )

Step-by-step solution

Given equation of family of lines ( aligned & a x+b y+c=0 & 3 a+5 b+6 c=0, so a x+b y- 3 a+5 b 6 =0 & 3 a(2 x-1)+b(6 y-5)=0 aligned ) So, the family of lines passes through the fixed point ( ( 1 2 , 5 6 ) ). Hence, option (d) is correct.

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