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AP EAMCET202017 Sep 2020Morning ShiftMathematicsPair of LinesActual

Find the value of (k ), if the angle between the straight lines represented by (2 x^2+5 x y+3 y^2+6 x+7 y+4=0 ) is ( ⁻¹(k) ).

Options

  1. A( ( 1 5 ) ) only
  2. B( ( -1 5 ) ) only
  3. C( 1 5 )
  4. D0

Correct answer

C. ( 1 5 )

Step-by-step solution

Straight lines (2 x^2+5 x y+3 y^2+6 x+7 y+4=0 ) Angle between straight lines represented by ( aligned & a x^2+b y^2+2 g x+2 f y+c+2 h x y=0 is & = 2 h^2-a b a+b aligned ) ( aligned & = 2 (5 / 2)^2-6 5 = 1 5 & = ⁻¹ K= ⁻¹ ( 1 5 ) (K= 1 5 ) aligned )

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