Q96 / 150 · MHT CET 2019 (02 May Shift 1) · Mathematics

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 ________

  • A
    4x2-9y2=72
  • Correct answer
    B
    4x2-9y2=36
  • C
    9x2-4y2=72
  • D
    9x2-4y2=36

Solution

Given: 2a=6 and 2b2a=83
Hence, a=3,b=2
Then, equation of hyperbola is x29-y24=1

Hence, the correct answer is option: 'B'.

Relevant Questions