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AP EAMCET202017 Sep 2020Morning ShiftMathematicsPair of LinesActual

If the pair of straight lines (6 x^2-5 x y+y^2=0 ) makes angles ( ) and ( ) with the (X )-axis, then ( ( - )= )

Options

  1. A2
  2. B( 1 7 )
  3. C3
  4. D7

Correct answer

B. ( 1 7 )

Step-by-step solution

(6 x^2-5 x y+y^2=0 ) ( aligned & ( y x )^2-5 ( y x )+6=0 & ( y x -3 ) ( y x -2 )=0 aligned ) ( y=3 x ) and (y=2 x ) are straight lines ( =3, =2 ) ( ( - )= 3-2 1+6 = 1 7 )

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