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A hyperbola having the transverse axis of length
P \( 2 \sin \theta \) is confocal with the ellipse \( 3 x^{2}+4 y^{2}=12 \). Then its equation is
W
(1) \( x^{2} \operatorname{cosec}^{2} \theta-y^{2} \sec ^{2} \theta=1 \)
(2) \( x^{2} \sec ^{2} \theta-y^{2} \operatorname{cosec}^{2} \theta=1 \)
(3) \( x^{2} \sin ^{2} \theta-y^{2} \cos ^{2} \theta=1 \)
(4) \( x^{2} \cos ^{2} \theta-y^{2} \sin ^{2} \theta=1 \)
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