Conic Sections ...

The eccentricity of the conic $$9x^{2} + 25y^{2} = 225$$ is

The eccentricity of the conic $$9{x}^{2}-16{y}^{2}=144$$ is

The vertex of the parabola $$y^2 - 4y - x + 3 = 0$$ is

 The equation $$5x^2 + y^2 + y = 8$$ represents 

Write the length of the latus-rectum of the hyperbola $$16{x}^{2}-9{y}^{2}=144$$

The equation of the circle with centre $$(2, 2)$$ which passes through $$(4,5)$$ is 

The centre of the ellipse $$4x^2 + y^2 - 8x + 4y - 8 = 0$$ is

The latus-rectum of the hyperbola $$16{x}^{4}-9{y}^{2}=144$$ is

Write the eccentricity of the hyperbola whose latus-rectum is half of its transverse axis.

The eccentricity of the ellipse $$\dfrac{(x-1)^2}{2} + \left(y + \dfrac{3}{4}\right)^2 = \dfrac{1}{16}$$ is