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AP EAMCET202018 Sep 2020Evening ShiftMathematicsPair of LinesActual

The sine of the angle between the pair of lines represented by the equation (x^2-7 x y+12 y^2=0 ) is

Options

  1. A( 1 12 )
  2. B( 1 13 )
  3. C( 1 170 )
  4. D( 1 11 )

Correct answer

C. ( 1 170 )

Step-by-step solution

( aligned & x^2-7 x y+12 y^2 =0 a & =1(2 h=-7) b=12 & = | 2 h^2-a b a+b | & = | 2 49 4 -1 12 13 |= | 2 1 2 13 | aligned ) ( = 1 13 ) ( = 1 170 ) Hence, option (c) is correct.

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