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Pair of Straight Lines — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsPair of Straight Lines2 Marks
MCQ
The equation $x^2-7 x y-y^2=0$ represents
  • A
    circle
  • B
    pair of parallel straight lines
  • ✓
    pair of perpendicular straight lines
  • D
    pair of non-perpendicular intersecting straight lines
✓

Answer

Correct option: C.
pair of perpendicular straight lines
(C) It is a homogeneous equation of degree 2 in $x$ and $y$
Hence, it represents a pair of lines and $a+b=0$
$\therefore \quad$ lines are perpendicular

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