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

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Solution

The correct option is C
Distance between foci $= 6 \Rightarrow 2 a e = 6 \Rightarrow a e = 3$
Minor axis $= 8 \Rightarrow b^{2} = 16 \Rightarrow a^{2} (1 - e^{2}) = 16 \Rightarrow a^{2} - a^{2} e^{2} = 16 \Rightarrow a^{2} = 16 + 9 = 25 \Rightarrow a = 5 \Rightarrow e = \frac{3}{5}$

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