The equation of the hyperbola in the standard form (with transverse axis along the…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The equation of the hyperbola in the standard form (with transverse axis along the x-axis) having the length of the latus rectum = 9 unit and eccentricity = \(\frac{5}{4}\) is,
- \(\frac{x^{2}}{16}-\frac{y^{2}}{18}=1\)
- \(\frac{x^{2}}{36}-\frac{y^{2}}{27}=1\)
- \(\frac{x^{2}}{64}-\frac{y^{2}}{36}=1\)
- \(\frac{x^{2}}{36}-\frac{y^{2}}{64}=1\)
Answer
(B) x^ 2 36 - y^ 2 27 =1
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