Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Find the equation of the tangents at the ends of the latus rectum of the ellipse 
+ 
= 1 and also show that they pass through the points of intersection of the major axis and directrices.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
ex ± y = a, – ex ± y = a
Sol. End points of latusrectum 
Equation of tangents at these points
= 1
± 
= 1
⇒ ± ex ± y = a
Clearly these lines pass through 
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