# The eccentr

Given that we need to find the eccentricity of the ellipse whose latus - rectum is equal to the distance between the foci.

We know that length of latus rectum is and distance between foci is 2ae.

b2 = a2e.

We know that eccentricity of the ellipse is b2 = a2(1 - e2)

a2(1 - e2) = a2e

e2 + e - 1 = 0

(since e>0)

The correct option is A

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
view all courses
RELATED QUESTIONS :

The latus -RD Sharma - Mathematics

If (2, 4) aRD Sharma - Mathematics

Find the eccentriRS Aggarwal - Mathematics

The differeRD Sharma - Mathematics

The eccentrRD Sharma - Mathematics

If the latuRD Sharma - Mathematics

If a latus RD Sharma - Mathematics

If the distRD Sharma - Mathematics

Write the eRD Sharma - Mathematics

If the eccentriciMathematics - Exemplar