The tangent at an extremity (in the first quadrant) of latus rectum of the hyperbola x^ 2…
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The tangent at an extremity (in the first quadrant) of latus rectum of the hyperbola\(\frac{x^{2}}{4}-\frac{y^{2}}{5}=1,\)meets x-axis and y-axis at A and B respectively. Then (OA)2–(OB)2, where O is the origin, equals :
- \(-\frac{20}{9}\)
- \(\frac{16}{9}\)
- 4
- \(-\frac{4}{3}\)
Answer
(A) - 20 9
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