Pair Of Straight Lines Question 34
Question: If one of the lines represented by the equation $ ax^{2}+2hxy+by^{2}=0 $ be $ y=mx $ , then
[UPSEAT 1999]
Options:
A) $ bm^{2}+2hm+a=0 $
B) $ bm^{2}+2hm-a=0 $
C) $ am^{2}+2hm+b=0 $
D) $ bm^{2}-2hm+a=0 $
Show Answer
Answer:
Correct Answer: A
Solution:
Substituting the value of y in the equation $ ax^{2}+2hxy+by^{2}=0 $ .
$ \Rightarrow ax^{2}+2h(mx)x+b{{(mx)}^{2}}=0 $
$ \Rightarrow a+2hm+bm^{2}=0 $ .
BETA
