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AP EAMCET202018 Sep 2020Morning ShiftMathematicsPair of LinesActual

A homogeneous equation of second degree in (x ) and (y ) represents which of the following?

Options

  1. ATwo lines
  2. BA pair of straight lines through the origin
  3. COnly one line through origin
  4. DA circle whose centre isn't the origin

Correct answer

B. A pair of straight lines through the origin

Step-by-step solution

A homogeneous equation of second degree in (x ) and (y, a x^2+2 h x y+b y^2=0 ), represents a pair of straight lines through origin, provided (h^2 a b ).

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