Answer :


Given: Vertices = (0, ±4) …(i)


The vertices are of the form = (0, ±a) …(ii)


Hence, the major axis is along y – axis


From eq. (i) and (ii), we get


a = 4


a2 = 16


and We know that, if the major axis is along y – axis then the equation of Ellipse is of the form of



Also, given coordinate of foci = (0, ±√7) …(iii)


We know that,


Coordinates of foci = (0, ±c) …(iv)


From eq. (iii) and (iv), we get


c = √7


We know that,


c2 = a2 – b2


(√7)2 = (4)2 – b2


7 = 16 – b2


b2 = 16 – 7


b2 = 9


Substituting the value of a2 and b2 in the equation of an ellipse, we get




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 Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

The sum of RD Sharma - Mathematics

The eccentrRD Sharma - Mathematics

The equatioRD Sharma - Mathematics

The eccentrRD Sharma - Mathematics

The eccentrRD Sharma - Mathematics

The eccentrRD Sharma - Mathematics

If the majoRD Sharma - Mathematics

find the eqRD Sharma - Mathematics

Find the equationRS Aggarwal - Mathematics

Find the equationRS Aggarwal - Mathematics