Question

The equation of an ellipse is given in its standard form as $16x^2+y^2=16$, then the length of the major axis is,

• A. $8$
• B. $2$
• C. $4$
• D. $1$

Answer 1

The correct option is A $8$

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

Dividing both sides by $16$

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

Comparing with, $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

$a=1,b=4(b>a)$

length of major axis=$2\times 4=8$

Hence option ${}^{\prime }{A}^{\prime }$ is the answer.