The equation of the director circle of the hyperbola $\frac{{{x^2}}}{{16}} - \frac{{{y^2}}}{4} = 1$ is given by
${x^2} + {y^2} = 16$
${x^2} + {y^2} = 4$
${x^2} + {y^2} = 20$
${x^2} + {y^2} = 12$
A hyperbola passes through the points $(3, 2)$ and $(-17, 12)$ and has its centre at origin and transverse axis is along $x$ - axis. The length of its transverse axis is
The difference of the focal distance of any point on the hyperbola $9{x^2} - 16{y^2} = 144$, is
The eccentricity of the hyperbola can never be equal to
The number of possible tangents which can be drawn to the curve $4x^2 - 9y^2 = 36$ , which are perpendicular to the straight line $5x + 2y -10 = 0$ is
Curve $xy = {c^2}$ is said to be