Q. Equation of the straight line making equal intercepts on the axes and passing through the point (2, 4), is
A) $4x - y - 4 = 0$
B) $2x + y - 8 = 0$
C) $x + y - 6 = 0$
D) $x + 2y - 10 = 0$
Explanation
(c)
Line making equal intercepts therefore, its equation is
$x \pm y = a$ …(i)
Since, it passes through (2, 4)
$\therefore\ \ a = - 2,\ 6$
Hence, equation of the required lines are
$x \pm y = a$
$\Rightarrow x + y = - 2$
or $x + y = 6$
$\Rightarrow \ x + y - 6 = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.