Analytic Geometry

Hyperbola and Foci

Difference of distances = 2a

  • High school
  • about 4 min
  • 3 of 7 in the family
Not started
F₁F₂
a=80
b=60
Move point
x2802−y2602=1\frac{x^2}{80^2}-\frac{y^2}{60^2}=1
∣d1−d2∣=160.0=2a=160|d_1-d_2|=160.0=2a=160

Hyperbola = set of points where the DIFFERENCE of distances from two foci is constant (=2a). Move the point and watch |d₁-d₂| stay equal to 2a.