Pair Of Straight Lines Question 33
Question: The value of $ \lambda $ for which the equation $ x^{2}-\lambda xy+2y^{2}+3x-5y+2=0 $ may represent a pair of straight lines is
[Kurukshetra CEE 1996]
Options:
A) 2
B) 3
C) 4
D) 1
Show Answer
Answer:
Correct Answer: B
Solution:
$ 1\times 2\times 2+2\times ( \frac{-5}{2} )\times \frac{3}{2}\times ( \frac{-\lambda }{2} )-1\times \frac{25}{4}-2\times \frac{9}{4}-2\frac{{{\lambda }^{2}}}{4}=0 $
$ \Rightarrow \lambda =3,\frac{9}{2} $ .
BETA
