COMEDK · Maths · 14. Ellipse
If the length of the major axis of an ellipse is 3 times the length of the minor axis, then its eccentricity is
- A \(\dfrac{1}{\sqrt{2}}\)
- B \(\dfrac{2 \sqrt{2}}{3}\)
- C \(\dfrac{1}{\sqrt{3}}\)
- D \(\dfrac{2}{\sqrt{3}}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{2 \sqrt{2}}{3}\)
Step-by-step Solution
Detailed explanation
Let the length of the major axis be \(2a\) and the length of the minor axis be \(2b\). Given that the length of the major axis is 3 times the length of the minor axis, we have \(2a = 3(2b)\), which simplifies to \(a = 3b\). The eccentricity \(e\) of an ellipse is given by the…
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