Question

What is the major axis for the equation+= 1? Type h for horizontal or v for vertical.

Answer 1

Consider the given equation,

$\begin{gathered} \frac{x^2}{49}+\frac{y^2}{7}=1 \\ \frac{x^2}{(7)^2}+\frac{y^2}{(\sqrt{7})^2}=1 \end{gathered}$

This is a standard equation of a horizontal ellipse, whose semi-major axisis given as,

$a=7$

So the length of major axis will be,

$2a=2(7)=14$

Thus, the length of major axis of the given equation is 14 units.