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Conic Section

Question
CBSEENMA11015608
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In an ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is

  • 3/5

  • 1/5

  • 2/5

  • 4/5

Solution

A.

3/5

2ae = 6 ⇒ ae = 3
2b = 8 ⇒ b = 4
b2= a2(1 − e2)
16 = a2 − a2e2
a2= 16 + 9 = 25
a = 5
∴e = 3/a = 3/5

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