JEE Main 2025 Mathematics question

MathematicsEllipseJEE Main 2025

Find the length of latus rectum of an ellipse, whose foci are (2, 5) and (2, –3) and the eccentricity of the ellipse is

Answer: (3)

Solution

2be=8, b=5, e²=1-a²/25=16/25, a²=9. Latus rectum = 2a²/b = 18/5

Question ID VK-002733