37-50 Finding the equation of a hyperbola Find an equation for the hyperbola that satisfies the given conditions.
Foci , hyperbola passes through .
The equation for the hyperbola.
Foci , hyperbola passes through
The general equation of a hyperbola with -axis as transverse axis is given by
Here, is the transverse axis and is the conjugate axis and c is the focus and is the center of the hyperbola and is the distance between the foci.
Since foci are so using the mid-point formula to find and
Since, the length of the conjugate axis is
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