Question
The eccentricity of the ellipse whose major axis is three times the minor axis is:
BITSAT
Mathematics
Ellipse
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. 2 3
- B. 3 2
- C. 2 2 3
- D. 2 3
Answer
C. 2 2 3
Step-by-step solution
Let a be the major axis and b, the minor axis of the ellipse, then 3 minor axis = major axis. 3 b=a Eccentricity is given by: array l b^ 2 =a^ 2 (1-e^ 2 ) \\ b^ 2 =9 b^ 2 (1-e^ 2 ) \\ 1 9 = (1-e^ 2 ) \\ e^ 2 = 8 9 \\ e= 2 2 3 array
Related: Mathematics — Ellipse · All PYQ Banks