The eccentricity of the hyperbola can never be equal to
$\sqrt {\frac{9}{5}} $
$2\sqrt {\frac{1}{9}} $
$3\sqrt {\frac{1}{8}} $
$2$
(b) Since $e > 1$ always for hyperbola and $\frac{2}{3} < 1$.
The chord $ PQ $ of the rectangular hyperbola $xy = a^2$ meets the axis of $x$ at $A ; C $ is the mid point of $ PQ\ \& 'O' $ is the origin. Then the $ \Delta ACO$ is :
Find the coordinates of the foci and the vertices, the eccentricity,the length of the latus rectum of the hyperbolas : $y^{2}-16 x^{2}=16$
The curve $xy = c, (c > 0)$, and the circle $x^2 + y^2 = 1$ touch at two points. Then the distance between the points of contacts is
The eccentricity of the hyperbola $\frac{{\sqrt {1999} }}{3}({x^2} – {y^2}) = 1$ is
The magnitude of the gradient of the tangent at an extremity of latera recta of the hyperbola $\frac{{{x^2}}}{{{a^2}}} – \frac{{{y^2}}}{{{b^2}}} = 1$ is equal to (where $e$ is the eccentricity of the hyperbola)
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