Q. The equation $4x^{2} - 24xy + 11y^{2} = 0$ represents
A) Two parallel lines
B) Two perpendicular lines
C) Two lines through the origin
D) A circle
Explanation
(c)
Here, $a = 4,\ b = 11\ and\ h = - 12$
$\therefore\ h^{2} - ab = ( - 12)^{2} - 4 \times 11 = 100$
$\therefore\$The two lines represented by given equation will be real and distinct which represent a pair of straight lines passing through the origin.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.