Answer :
The equation of directrix is D. y=± 432/13.
Definition of hyperbola -
- A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant .
- A curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
1. The vertex i at (0, 36) and a focus at (0, 39), then you have:
a=36
a²=1296
2. The equation of directrix is:
y = a² =c
c = 39
y = 1296/39
y = 432/13
Therefore, the answer is the option D, which is: D. y=± 432/13
Learn more about hyperbola
brainly.com/question/27799190
#SPJ4
The complete question is -
A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39)
Which are the equations of the directrices ?
A. x= ±12/13
B. y=±12/13
C. x=±432/13
D. y=± 432/13