Find the eccentricity, one of the foci, the directrix, and the length of the latus rectum for the conic `(3x-12)^2+(3y+15)^2=((3x-4y+5)^2)/(25)` .

Find the length of the Latus rectum of the parabola y^(2)=4ax .

Find the coordinates of the foci, the vertices, the eccentricity and the length of the latus rectum of the hyperbola. 9x^2 - 16y^2 = 144

Find the vertex, focus, directrix, and length of the latus rectum of the parabola x^(2)-4x-5y-1=0

The length of the latus rectum of 3x^(2) -4y +6x - 3 = 0 is

The length of the latus rectum of the parabola x^2 - 4x - 8y + 12 = 0 is

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (y^(2))/(9)-(x^(2))/(27)=1

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. (x^(2))/(16)-(y^(2))/(9)=1

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(4)+(y^(2))/(25)=1