A hyperbola having the transverse axis of length 2 sin is confocal with the ellipse 3x2 4y2 12 Then ...........

A hyperbola , having the transverse axis of length 2 sin $\theta$ , is confocal with the ellipse 3x²+4y² = 12. Then its equation is

x² cosec² $\theta$ -y² sec² $\theta$ =1

x² sec² $\theta$ -y² cosec² $\theta$ =1

x² sin² $\theta$ -y² sin² $\theta$ =1

x² cos² $\theta$ -y² sin² $\theta$ =1

x² cosec² $\theta$ ?-y² sec² $\theta$ =1

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