Question

The length of the latus rectum of the ellipse $16x^2+25y^2=400$ is

• A. 5/16 unit
• B. 32/5 unit
• C. 16/5 unit
• D. 5/32 unit

Answer 1

Answer: (B)

Given equation can be rewritten as
$\frac{x^2}{25}+\frac{y^2}{16}=1$
Here, $a^2=25,b^2=16$
$\therefore$ Length of latusrectum $=\frac{2b^2}{a}$
$=\frac{2\times 16}{5}=\frac{32}{5}$ unit