Tag: hyperbola
Questions Related to hyperbola
The focal length of the hyperbola $x^2-3y^2-4x-6y-11=0$, is?
Consider the hyperbola $3{x^2} - {y^2} - 24x + 4y - 4 = 0$
Find Directrix, foci and eccentricity of the conics:
The equation of a hyperbola whose directrix is $2x+y=1$ and focus is at $(1,2)$ with $e=\sqrt{3}$ is :
Let the eccentricity of the hyperbola $ \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 $ be reciprocal to that of the ellipse $ x^{2}+4 y^{2}=4 . $ If thehyperbola passes through a focus of the ellipse, then __________________.
The eccentricity of the hyperbola $\displaystyle \dfrac { \sqrt { 1999 } }{ 3 } \left( { x }^{ 2 }-{ y }^{ 2 } \right) =1$ is:
The equation of the hyperbola whose foci are $(6,5), (-4, 5)$ and eccentricity $\dfrac54$ is:
The eccentricity of the hyperbola $4x^2\, -\, 9y^2\, -\, 8x\, =\, 32$ is
The vertices of a hyperbola are at $(0, 0)$ and $(10,0)$ and one of its focus is at $(18,0)$. The possible equation of the hyperbola is
In the hyperbola $4x^2\, -\, 9y^2\, =\, 36$, find lengths of the axes, the co-ordinates of the foci, the eccentricity, and the latus rectum.