If the tangent at the point ( Zec Φ. Ztan Φ) of the hyperbola x^ 2 4 - y^ 2 9 =1 is…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

If the tangent at the point \((\text { Zec Φ. } \text { Ztan Φ) }\) of the hyperbola \(\frac{x^{2}}{4}-\frac{y^{2}}{9}=1\) is parallel to \(3 x-y+4=0\), then the value of Φ is
  1. \(30^{\circ}\)
  2. \(45^{\circ}\)
  3. \(60^{\circ}\)
  4. \(75^{\circ}\)

Answer

(A) 30^

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