Conics Flashcards
If one of the angles is 90 and e=0 then the locus is
A circle
If both the angles are acute and e
Ellipse
If the two angles are equal and e=1 then the locus is
Parabola
If one angle is bigger than the other and e>1 the locus is
Hyperbola
If e = infinity then the locus is
Pair of straight lines
Equation of a comic section
ax^2 + by^2 + 2hxy + 2gx + 2fy + c = 0
/\ =?
For conics
|a h g|
|h b f |
|g f c |
When /\ = 0 and h^2 = ab
Conic section is
Pair of coincident lines
When /\ = 0 and
h^2
Imaginary lines
When /=0 and h^2>ab the comic section is
Real and distinct pair of straight lines
When /!=0 and h^2=ab the conic section is
Parabola
When /!=0 and h^2
Ellipse
When /!=0 and h^2>ab the comic section is
Hyperbola
When /!=0 and h^2>ab and e=(2)^1/3 and a+b=0 the conic section is
Rectangular hyperbola
When /!=0 and a=b and e=0 and h=0 the Vinci section is
Circle
