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Major Axis of Ellipse

One focus of ...

Question

One focus of an Ellipse is (1,0) with centre (0,0). If the length of major axis is 6, its e =

A

$\frac{1}{4}$

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B

$\frac{2}{3}$

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C

$\frac{1}{3}$

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D

$\frac{1}{2}$

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Solution

The correct option is C
$\frac{1}{3}$

S=(1,0)C=(0,0)
2a=6 $\Rightarrow$ a = 3

ae = 1 $\Rightarrow$ e = $\frac{1}{3}$

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