Pair Of Straight Lines Question 112
Question: The lines represented by the equation $ 9x^{2}+24xy+16y^{2}+21x+28y+6=0 $ are
Options:
A) Parallel
B) Coincident
C) Perpendicular
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Given lines are not perpendicular i.e., $ a\ne -b $
Checking for parallel lines, $ \frac{a}{h}=\frac{h}{b}=\frac{g}{f} $
$ (3x+4y+6)(3x+4y+1)=0\Rightarrow \frac{9}{12}=\frac{12}{16}=\frac{21}{28} $
Hence lines are parallel.
BETA
