A hyperbola having the transverse axis of length \[2\sin \theta ,\] is confocal with the ellipse \[3{{x}^{2}}+4{{y}^{2}}=12.\] Then its equation is

\[{{x}^{2}}{{\sec }^{2}}\theta -{{y}^{2}}\cos e{{c}^{2}}\theta =1\]

\[{{x}^{2}}\cos e{{c}^{2}}\theta -{{y}^{2}}{{\sec }^{2}}\theta =1\]

\[{{x}^{2}}{{\sin }^{2}}\theta -{{y}^{2}}{{\cos }^{2}}\theta =1\]

\[{{x}^{2}}{{\cos }^{2}}\theta -{{y}^{2}}{{\sin }^{2}}\theta =1\]

A hyperbola having the transverse axis of length \[2\sin \theta ,\] is

1.	A hyperbola having the transverse axis of length \[2\sin \theta ,\] is confocal with the ellipse \[3{{x}^{2}}+4{{y}^{2}}=12.\] Then its equation is
A.	\[{{x}^{2}}\cos e{{c}^{2}}\theta -{{y}^{2}}{{\sec }^{2}}\theta =1\]
B.	\[{{x}^{2}}{{\sec }^{2}}\theta -{{y}^{2}}\cos e{{c}^{2}}\theta =1\]
C.	\[{{x}^{2}}{{\sin }^{2}}\theta -{{y}^{2}}{{\cos }^{2}}\theta =1\]
D.	\[{{x}^{2}}{{\cos }^{2}}\theta -{{y}^{2}}{{\sin }^{2}}\theta =1\]
Answer» B. \[{{x}^{2}}{{\sec }^{2}}\theta -{{y}^{2}}\cos e{{c}^{2}}\theta =1\]

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A hyperbola having the transverse axis of length \[2\sin \theta ,\] is confocal with the ellipse \[3{{x}^{2}}+4{{y}^{2}}=12.\] Then its equation is

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