Determine the type of curve represented by the equation [(x^2)/k + (y^2)/(k-16)]=1 in each of follow case: k<0

Question

0<k<16
K>16

Answer 1

ellipse: x^2/a^2 + y^2/b^2
hyperbola: x^2/a^2 - y^2/b^2 = 1

So when do k and k-16 have the same or opposite sign?

Answer 2

Mathas assajment

Answer 3

Answer

Answer 4

Solutions