Q. The lines represented by the equation $x^{2} - y^{2} - x + 3y - 2 = 0$ are
A) $x + y - 1 = 0,\ x - y + 2 = 0$
B) $x - y - 2 = 0,\ x + y + 1 = 0$
C) $x + y + 2 = 0,\ x - y - 1 = 0$
D) $x - y + 1 = 0,\ x + y - 2 = 0$
Explanation
(d)
The given equation of pair of straight line can be rewritten as
$(x - y + 1)(x + y - 2) = 0$
$\therefore$ The equation of lines which are represented by the given equation, are
$x - y + 1 = 0\ and\ x + y - 2 = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.