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AP EAMCET202018 Sep 2020Morning ShiftMathematicsPair of LinesActual

The lines (a x^2+2 h x y+b y^2=0 ) are at right angles if

Options

  1. A(a+b=0 )
  2. B(a+b=1 )
  3. C(h^2-a b=0 )
  4. D(a=b )

Correct answer

A. (a+b=0 )

Step-by-step solution

The acute angle (( ) ) between lines represented by equation (a x^2+2 h x y+b y^2=0 ), is ( = ⁻¹ ( 2 h^2-a b |a+b| ) ) If lines are perpendicular then (a+b=0 ).

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