Pair Of Straight Lines Question 54
Question: Equation $ 3x^{2}+7xy+2y^{2}+5x+5y+2=0 $ represents
[UPSEAT 2002]
Options:
A) Pair of straight line
B) Ellipse
C) Hyperbola
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
For a pair of straight lines, $ abc+2fgh-af^{2}-bg^{2}-ch^{2}=0 $
$ (3)(2)(2)+2\cdot ( \frac{5}{2} )( \frac{5}{2} )( \frac{7}{2} )-3{{( \frac{5}{2} )}^{2}}-2{{( \frac{5}{2} )}^{2}}-2{{( \frac{7}{2} )}^{2}}=0 $ .
Hence, given equation represents a pair of straight lines.
BETA
