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QJEEAdv07Mac67c: JEE Advanced 2007 Mathematics - Class 11 JEEAdv07Mac67c Solution: A hyperbola, having the transverse axis of length is confocal…

A hyperbola, having the transverse axis of length 2sin⁡θ,2\sin \theta , is confocal with the ellipse 3x2+4y2=12.3{x^2} + 4{y^2} = 12. Then its equation is

Multiple Choice Options

  • A x2cos⁡ec2θ−y2sec⁡2θ=1{x^2}\cos e{c^2}\theta - {y^2}{\sec ^2}\theta = 1
  • B x2cos⁡ec2θ−y2sec⁡2θ=1{x^2}\cos e{c^2}\theta - {y^2}{\sec ^2}\theta = 1
  • C x2sin⁡2θ−y2cos2θ=1{x^2}{\sin ^2}\theta - {y^2}co{s^2}\theta = 1
  • D x2cos⁡2θ−y2sin⁡2θ=1{x^2}{\cos ^2}\theta - {y^2}{\sin ^2}\theta = 1

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