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 lines
B) Ellipse is a closed curve with two foci, where the sum of the distances from any point on the curve to the two foci is constant.
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
