Question

For the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$, which of the following is/are true?

• A. eccentricity is $\frac{3}{5}$
• B. Length of minor axis is $8$ units
• C. Length of major axis $10$ units
• D. Centre of ellipse is $(0,0)$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A eccentricity is $\frac{3}{5}$
B Length of minor axis is $8$ units
C Length of major axis $10$ units
D Centre of ellipse is $(0,0)$

For the given ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$
$a=5,b=4(a>b)$
$\Rightarrow e^2=1-\frac{b^2}{a^2}=1-\frac{16}{25}\therefore e=\frac{3}{5}$

Length of minor axis $=2b=8$
Length of major axis $=2a=10$
Centre of ellipse is $(0,0)$