The length of the latus rectum of an ellipse is 6 units and the distance between a focus and its nearest vertex on the major axis is 
units. If 
is the eccentricity of this ellipse, then 
satisfies the equation
Text Solution
Verified by ExpertsA
Given length of latns rectum is 6 units.
vertex is 
and foci is (c, 0 ).
According to question,
Take square both side,
Here, 
Then, 
From (i),
Then, 
Now, check by option with equation.
Its root is equal to eccentricity, then this equation satisfy the eccentricity (e).
So, option is correct.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems