If the major axis of an ellipse is three times the minor axis, then its eccentricity is equal to A. 1/3 B. 1/√3 C. 1/√2 D. 2/√2 E. 2/3√2

Question

If the major axis of an ellipse is three times the minor axis, then its eccentricity is equal to

A. 1/3

B. 1/√3

C. 1/√2

D. \(\cfrac{2\sqrt2}3\)

E. \(\cfrac23\)√2

Answer 1

Correct option is  D. \(\cfrac{2\sqrt2}3\)

Given that the major axis of an ellipse is three times the minor axis.

⇒ a = 3b

We know that eccentricity(e) =