37-50 Finding the equation of a Hyperbola Find an equation for the hyperbola that satisfies the given conditions.
Foci , length of transverse axis:
The equation for the hyperbola when the foci are , and the length of the transverse axis is .
The foci are , and the length of the transverse axis is .
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 length of transverse axis.
foci are .
Use the midpoint formula to find and .
Since, the length of transverse axis is . Then,
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