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Pair of Straight Lines — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsPair of Straight Lines2 Marks
MCQ
Two lines represented by equation $x^2+x y+y^2=0$ are
  • A
    Coincident
  • B
    Parallel
  • C
    Mutually perpendicular
  • ✓
    Imaginary
✓

Answer

Correct option: D.
Imaginary
(D) Given equation of pair of lines is
$x^2+x y+y^2=0$
$\therefore \quad a=1, h=\frac{1}{2}, b=1$
Here, $h ^2- ab =\frac{-3}{4}<0$
Hence, the lines are imaginary

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