$\"\"$

\

The hyperbola equation is $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The general form of hyperbola is $\"\"$ .

\

Where the hyperbola is transverse about $\"\"$ -axis and $\"\"$ is the center.

\

$\"\"$ is the distance between center and vertex.

\

$\"\"$ is the distance between center and focus and $\"\"$ .

\

The vertices of the hyperbola is $\"\"$ .

\

The foci of the hyperbola is $\"\"$ .

\

Asymptotes of the hyperbola are $\"\"$ .

\

$\"\"$

\

The hyperbola equation is $\"\"$ .

\

Comapre the equation with general form of hyperbola.

\

The center of the hyperbola is $\"\"$ .

\

The values of $\"\"$ and $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

The foci of the hyperbola is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ .

\

$\"\"$ .

\

The foci is at $\"\"$ and $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

The vertices are at $\"\"$ and $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

The asymptotes are $\"\"$ and $\"\"$ .

\

$\"\"$

\

Form the rectangle with points $\"\"$ and $\"\"$ .

\

$\"\"$ are the vertices points.

\

Find $\"\"$ .

\

$\"\"$ and $\"\"$ .

\

Graph :

\

Graph of the hyperbola is

\

$\"\"$

\

$\"\"$

\

The center of the hyperbola is $\"\"$ .

\

The hyperbola is transverse about $\"\"$ -axis.

\

The vertices are at $\"\"$ and $\"\"$ .

\

The foci is at $\"\"$ and $\"\"$ .

\

The asymptotes are $\"\"$ and $\"\"$ .

\

Graph of the hyperbola is

\

$\"\"$ ..