Answer :

The given equation is 49y^{2} – 16x^{2} = 784

We can re-write the given as

Or ……….. (1)

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

, we get,

a = 4 and b =7

We know, a^{2} + b^{2} = c^{2}

Thus,

c^{2} = 16 + 49 = 65

⇒ c =

Therefore,

The coordinates of the foci are (0, ).

The coordinates of the vertices are (0, 4).

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.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Find the equationRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics