JEE Main 2017 — Ellipse Question with Solution
From: JEE Main 2017 (Offline)
Question
The eccentricity of an ellipse whose centre is at the origin is . If one of its directrices is x = – 4, then the
equation of the normal to it at is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B4x – 2y = 1
Step-by-step explanation
Given e = and = 4
= 2
We have b2 = 2 (1 – e2) = = 3
Equation of ellipse is
Now, the equation of normal at is
4x – 2y = 1
= 2
We have b2 = 2 (1 – e2) = = 3
Equation of ellipse is
Now, the equation of normal at is
4x – 2y = 1
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