If foci of x^ 2 a^ 2 - y^ 2 b^ 2 =1 coincide with the foci of x^ 2 25 + y^ 2 9 =1 and…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
If foci of \(\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\) coincide with the foci of \(\frac{x^{2}}{25}+\frac{y^{2}}{9}=1\) and eccentricity of the hyperbola is 2, then
- a2 + b2 = 16
- there is no director circle to the hyperbola
- centre of the director circle is (0, 0)
- length of latus rectum of the hyperbola = 12
Answer
(A) a 2 + b 2 = 16, (B) there is no director circle to the hyperbola, (D) length of latus rectum of the hyperbola = 12
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