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JEE Main 2006

Exam: JEE Main
Year: 2006
Subject: Mathematics
Chapter: Ellipse

JEE Main 2006 · Mathematics · Ellipse

In an ellipse, the distance between its foci is 6 and minor axis is...

In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is

Options

A $\frac{3}{5}$
B $\frac{1}{2}$
C $\frac{4}{5}$
D $\frac{1}{\sqrt{5}}$

Correct answer

A. $\frac{3}{5}$

Step-by-step solution

2 a e=6 \Rightarrow a e=3 2 b=8 \Rightarrow b=4 b^2=a^2\left(1-e^2\right)

16=a^2-a^2 e^2

a^2=16+9=25

a=5

\therefore e=\frac{3}{a}=\frac{3}{5}

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