# In each of the, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.9y2 – 4x2 = 36

The given equation is 9y2 – 4x2 = 36

We can re-write the given as

or ………..(1)

On comparing this equation (1) with the standard equation of hyperbola

, we get,

a = 2 and b =3

We know, a2 + b2 = c2

Thus,

c2 = 4 + 9 = 13

c =

Therefore,

The coordinates of the foci are (0, ).

The coordinates of the vertices are (0, 2).

Eccentricity, e =

Length of latus rectum =

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Undersatnd Standard Equation Of Ellipse46 mins
Revise Co-normal points on parabola with questions44 mins
Properties of normal of parabola | Interactive Quiz46 mins
Properties of tangents to parabola | Interactive Quiz Time40 mins
Co-normal points on parabola42 mins
Interactive Quiz on Equation of Parabola41 mins
Lecture on Equation of Parabola59 mins
Focal chord of parabola29 mins
Practise Questions on Standard Equation of Ellipse42 mins
Equation of normal of parabola | Interactive Quiz Time44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses