Find an equation for the hyperbola with foci and with asymptotes .
An equation for the hyperbola with foci and the asymptotes .
The foci and asymptotes of the hyperbola are and .
From asymptotes take the value of and use the relation … (1)
Since the foci of the hyperbola are lying on the -axis. Foci are equidistance from the origin and . So the hyperbola must be centered at the origin and has a vertical transverse axis.
Compare with , we can write .
From equation (1)
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