Manipal MET2010MathematicsPair of Lines
The equation 3 x^2+7 x y+2 y^2+5 x+5 y+2=0 represents
Options
- Aa pair of straight lines
- Ba circle
- Can ellipse
- Da hyperbola
Correct answer
A. a pair of straight lines
Step-by-step solution
The given equation is of the form a x^2+2 k+2+2 g x+2 f y+c=0, on comparing the given equation with it We obtain a=3, h= 7 2 , b=2, g= 5 2 , f= 5 2 and c=2 aligned & Now, a b c+2 f g h-a f^2-b g^2-c h^2 & =12+2 5 2 5 2 7 2 -3 ( 5 2 )^2-2 ( 5 2 )^2-2 ( 7 2 )^2 aligned =0