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Question: Answered & Verified by Expert
If the lengths of the transverse axis and the latus rectum of a hyperbola are 6 and 83 respectively, then, the equation of the hyperbola is ________
MathematicsHyperbolaJEE Main
Options:
  • A 4x2-9y2=72
  • B 4x2-9y2=36
  • C 9x2-4y2=72
  • D 9x2-4y2=36
Solution:
2360 Upvotes Verified Answer
The correct answer is: 4x2-9y2=36
Given: 2a=6 and 2b2a=83
Hence, a=3,b=2
Then, equation of hyperbola is x29-y24=1

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