Q. If $a,\ b,\ c$ are in AP, then the straight line $ax + by + c = 0$ will always pass through the point
A) $( - 1,\ - 2)$
B) $(1,\ - 2)$
C) $( - 1,\ 2)$
D) (1, 2)
Explanation
(b)
Since, $a,\ b,\ c$ are in AP.
$\Rightarrow 2b = a + c,$ then straight line $ax + by + c = 0$ will pass through(1,$- 2$) because it satisfies condition $a - 2b + c = 0$ or $2b = a + c.$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.