Find the equation of the parabola whose focus is `S(-1,1)` and directrix is `4x+3y-24=0` . Also find its axis, the vertex, the length, and the equation of the latus rectum.

Find the equation of the parabola whose focus is (-2,3) and directrix is the line 2x+3y-4=0. Also find the length of the latus rectum and the equation of the axis of the parabola.

Find the equation of the parabola whose focus is at (3,-4) and directrix is the line x+y-2=0 . Also find the length of latus-rectum and the equation of its axis.

Find the equation of the parabola whose focus is (-1,-2) and the equation of the directrix is given by 4x-3y+2=0 . Also find the equation of the axis.

Find the equation of the parabola whose focus is (3, 4) and whose directrix is 3x + 4y + 25 = 0 . Also find the length of latus rectum of he parabola .

Find the equation of the parabola with focus (5, 0), and directrix x = -5 . Also, find the length of the latus rectum.

Find the equation of the parabola with focus (5, 0), and directrix x = -5 . Also, find the length of the latus rectum.

Find the equation of parabola whose focus is (4,5) and vertex is (3,6). Also find the length of the latus rectum.

Find the equation of parabola whose focus is (4,5) and vertex is (3,6). Also find the length of the latus rectum.

Find the equation of the parabola whose focus is at the origin, and whose directrix is the line y-x=4 .Find also the length of the latus rectum, the equation of the axis, and the coordinates of the vertex.