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AP EAMCET20227 Jul 2022Evening ShiftMathematicsPair of LinesActual

If a x^2-34 x y-5 y^2+2 x+26 y-5=0 represents a pair of straight lines, then the value of a is

Options

  1. A7
  2. B5
  3. C2
  4. D13

Correct answer

A. 7

Step-by-step solution

a x^2-34 x y-5 y^2+2 x+26 y-5=0 Here, = | array ccc a & -17 & 1 -17 & -5 & 13 1 & 13 & -5 array |=0 aligned & [ | array lll a & h & g h & b & f g & f & c array |=0 ] & a(-144)+17(72)-216=0 & a=7 & aligned

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