Step 1:

The foci of hyperbola : $\"\"$ and asymptotes are : $\"\"$ .

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

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

Compare the asymptotes :

Centre $\"\"$ .

slope of the asymptotes $\"\"$

$\"\"$

Step 2:

The distance from the origin to either foci is $\"\"$ .

The value of $\"\"$ [ from the foci ] $\"\"$ .

From the hyperbola definition : $\"\"$ .

$\"\"$

Substitute the values of center $\"\"$ , $\"\"$ in standard form.

$\"\"$

Solution :

$\"\"$ .