Pair Of Straight Lines Question 40
Question: If $ Lx^{2}-10xy+12y^{2} $
$ +5x-16y-3=0 $ represents a pair of straight lines, then L is
[MP PET 2001]
Options:
A) 1
B) 2
C) 3
D) -1
Show Answer
Answer:
Correct Answer: B
Solution:
Given equation represents a pair of straight lines, if $ abc+2fgh-af^{2}-bg^{2}-ch^{2}=0 $
$ \Rightarrow -36L+200-64L-75+75=0 $
$ \Rightarrow -100L+200=0,\therefore L=2 $ .
BETA
