Question

X^2/16 + y^2/25 = 1
The major axis runs along the:
x-axis
y-axis
line y=x

Answer 1

y-axis

Explanation:

We have the equation:

`\frac{ {x}^(2) }{16} + \frac{ {y}^(2) }{25} = 1`

This is the equation of an ellipse with vertex at origin.

We can rewrite this equation as:

`\frac{ {x}^(2) }{ {4}^(2) } + \frac{ {y}^(2) }{ {5}^(2) } = 1`

Comparing this to

`\frac{ {x}^(2) }{ {b}^(2) } + \frac{ {y}^(2) }{ {a}^(2) } = 1`

We a=5 and b=4

Since a>b, the major axis runs along the y-axis