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┬атАУ 4x2┬а= 36
The given equation is 9y2┬атАУ 4x2┬а= 36.
It can be written as
9y2┬атАУ 4x2┬а= 36
On comparing equation (1) with the standardequation of hyperbola i.e.,, we obtain┬аa┬а=2 and┬аb┬а= 3.
We know that┬аa2┬а+┬аb2┬а=┬аc2.
Therefore,
The coordinates of thefoci are.
The coordinates of thevertices are.
Lengthof latus rectum