Question

Equation of an ellipse is given in its standard form as,$16x^2+y^2=16$. Length of the latus rectum is

• A. $\frac{1}{4}$
• B. $\frac{1}{2}$
• C. $4$
• D. $2$

Answer 1

Answer: (B)

$\frac{1}{2}$

Equation of ellipse, $16x^2+y^2=16$

Dividing both side by 16

$\frac{x^2}{1}+\frac{y^2}{16}=1$

$a=1,b=4$

length of latus rectum $=2\times \frac{a^2}{b}=2\times \frac{1}{4}=\frac{1}{2}$