Find the equation of the hyperbola whose

focus is $(2,-1),$ directrix is $2x+3y=1$ and eccentricity $=2$

Find the equation of the hyperbola whose

focus is $(a, 0),$ directrix is $2x-y+a=0$ and eccentricity$=\frac{4}{3}$

Find the equation of the hyperbola whose

focus is $(2,2)$ directrix is $x+y=9$ and eccentricity $=2$

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus-rectum of the hyperbola

$9x^2-16y^2=144$.

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus-rectum of the hyperbola

$16x^2-9y^2=-144$

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus-rectum of the hyperbola

$4x^2-3y^2=36$

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus-rectum of the hyperbola

$3x^2-y^2=4$

Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus-rectum of the hyperbola

$2x^2-3y^2=5$