Conic Sections Question 515
Question: The equation $ x^{2}-2xy+y^{2}+3x+2=0 $ represents
[UPSEAT 2001]
Options:
A) A parabola
B) An ellipse
C) A hyperbola
D) A circle
Show Answer
Answer:
Correct Answer: A
Solution:
$ \Delta =(1)(1)(2)+2( \frac{3}{2} )(0)(-1)-(1){{(0)}^{2}}- $
$ (1){{( \frac{3}{2} )}^{2}}-2{{(-1)}^{2}} $
$ =2-\frac{9}{4}-2<0 $ and $ h^{2}-ab=1-1=0 $ . i.e., $ h^{2}=ab $
therefore a parabola.
BETA
