The Total solution for NCERT class 6-12
Find the coordinates of the foci and the vertices, the eccentricity, and the length of the latus rectum of the hyperbola9y2 – 4x2 = 36
The given equation is 9y2 – 4x2 = 36.
It can be written as
9y2 – 4x2 = 36
On comparing equation (1) with the standardequation of hyperbola i.e.,, we obtain a =2 and b = 3.
We know that a2 + b2 = c2.
Therefore,
The coordinates of thefoci are.
The coordinates of thevertices are.
Lengthof latus rectum