Find the equation of hyperbola if equation of its directrix is `x cos alpha + y sin alpha = p` and foci `(0,0)` and eccentricity is `5/4`.

Find the equation of hyperbola whose equation of directrix is x+2y=1, focus is (-1,-1) and eccentricity is sqrt(2) .

Find the equation of hyperbola whose equation of directrix is x+2y=1, focus is (-1,-1) and eccentricity is sqrt(2) .

Reduce the equation of the line x cos alpha+y sin alpha-p=0 into intercepts form

Find the equation of the hyperbola, whose axes are axes of coordinates and coordinates of foci are (5,0),(-5,0) and the eccentricity is (5)/(4) .

Find the equation of the hyperbola whose: focus is (0,3) directrix is x+y-1=0 and eccentricity =2 .

Find the equation of the hyperbola with eccentricity (3)/(2) and foci at (pm 2, 0) .

Find P and alpha by converting equation x+y =1 in xcos alpha + y sin alpha = P form.

Find the equation of the hyperbola whose : focus (a ,0) , directrix is 2x-y+a=0\ and eccentricity \ =4/3\

Find the equation of a hyperbola whose focus. equation of directrix and eccentricity are (2, 0), 4x - 3y = 2 and 5/4respectively

Find the equation of the hyperbola whose : focus is (1,1) directrix is 3x+4y+8=0 and eccentricity =2