The equation 9x 2 – 16y 2 – 18x + 32y – 151 = 0 represents a hyperbola -

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

The equation 9x2 – 16y2 – 18x + 32y – 151 = 0 represents a hyperbola -
  1. The length of the transverse axis is 4
  2. Length of latus rectum is 9
  3. Equation of directrix is \(x=\frac{\mathbf{2}}{5}\) and \(x=-\frac{1}{5}\)
  4. None of these

Answer

(C) Equation of directrix is x= 2 5 and x=- 1 5

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