Pair Of Straight Lines Question 150
Question: The equation of lines passing through the origin and parallel to the lines $ y=m_1x+c_1 $ and $ y=m_2x+c_2 $ is
Options:
A) $ m_1m_2x^{2}-(m_1+m_2)xy+y^{2}=0 $
B) $ m_1m_2x^{2}+(m_1+m_2)xy+y^{2}=0 $
C) $ m_1m_2y^{2}-(m_1+m_2)xy+x^{2}=0 $
D) $ m_1m_2y^{2}+(m_1+m_2)xy+x^{2}=0 $
Show Answer
Answer:
Correct Answer: A
Solution:
Passing through origin and is parallel to given lines are $ y=m_1x $ and $ y=m_2x $ .
If represented as pair of straight lines, we get $ (y-m_1x)(y-m_2x)=0 $
$ \Rightarrow m_1m_2x^{2}-(m_1+m_2)xy+y^{2}=0 $ .
BETA
