A hyperbola having the transverse axis of length has the same foci as that of the ellipse
, then this hyperbola does not pass through
The given equation of ellipse can be written as
Now,
Also, foci
Now, the hyperbola has the same foci i.e,.
Let be its eccentricity. Then
But (Length of transverse axis)
So, equation of hyperbola is
From the options, only option (d) does not satisfy the above equation.
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