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MHT CET20192 May 2019Morning ShiftMathematicsHyperbolaActual

If the lengths of the transverse axis and the latus rectum of a hyperbola are 6 and 8 3 respectively, then, the equation of the hyperbola is ________

Options

  1. A4 x 2 - 9 y 2 = 72
  2. B4 x 2 - 9 y 2 = 36
  3. C9 x 2 - 4 y 2 = 72
  4. D9 x 2 - 4 y 2 = 36

Correct answer

B. 4 x 2 - 9 y 2 = 36

Step-by-step solution

Given: 2 a = 6 and 2 b 2 a = 8 3 Hence, a = 3 , b = 2 Then, equation of hyperbola is x 2 9 - y 2 4 = 1

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