The reciprocal of the eccentricity of rectangular hyperbola, is
$2$
$\frac{1}{2}$
$\frac{1}{{\sqrt 2 }}$
$\sqrt 2 $
The product of the perpendiculars drawn from any point on a hyperbola to its asymptotes is
If the line $y = 2x + \lambda $ be a tangent to the hyperbola $36{x^2} - 25{y^2} = 3600$, then $\lambda = $
Locus of the point of intersection of straight lines $\frac{x}{a} - \frac{y}{b} = m$ and $\frac{x}{a} + \frac{y}{b} = \frac{1}{m}$ is
Foci of the hyperbola $\frac{{{x^2}}}{{16}} - \frac{{{{(y - 2)}^2}}}{9} = 1$ are
The eccentricity of the conic ${x^2} - 4{y^2} = 1$, is