Hyperbola Flashcards
1
Q
Equation of hyperbola
A
x^2/a^2-y^2/b^2 =1
2
Q
Eccentricity of hyperbola
A
root(1+b^2/a^2)
3
Q
Domain of the hyperbola
A
x belongs to (-∞, -a) union (a, ∞)
4
Q
Length of transverse Axis
A
2a
5
Q
Length of Conjugate axis
A
2b
6
Q
Conjugate Hyperbola
A
x^2/a^2-y^2/b^2 =-1
7
Q
Equation of rectangular hyperbola
A
x^2-y^2=a^2
8
Q
Equation of auxillary circle
A
x^2+y^2 = a^2
9
Q
Tangent Point Form
A
xx1/a^2-yy1/b^2 = 1
10
Q
Tangent Parametric Form
A
xsecθ/a-ytanθ/b = 1
11
Q
Tangent Slope Form
A
y = mx ± root(a^2m^2-b^2)
12
Q
Tangent from an external point
A
m^2(h^2-a^2)-2hmk = a^2m^2-b^2
13
Q
Director Circle equation
A
x^2+y^2 = a^2-b^2
14
Q
Normal Cartesian Form
A
a^2x/x1 + b^2y/y1 = a^2+b^2
15
Q
Normal Parametric Form
A
axsecθ + bycotθ =a^2+b^2
