Find the length of the latus rectum of the ellipse whose foci are `(2, -1) and (1, 2)` and one of the directrices is `x + y = 5`

Find the centre, the length of latus rectum, the eccentricity, the coordinates of foci and the equations of the directrices of the hyperbola ((x+2)^(2))/(9) - ((y-1)^(2))/(16) = 1.

Find the length of latus rectum and the coordinates of the foci of the ellipse 25x^(2) + 4y^(2) = 100 .

Find the length of the major axis, minor axis, latus rectum, eccentricity, centre, foci and the equations to the directrices of the ellipse. (i) 3x^(2) + y^(2) -6x -2 y -5 = 0

In the hyperbola x ^(2) - y ^(2) = 4, find the length of the axes, the coordinates of the foci, the ecentricity, and the latus rectum, and the equations of the directrices.

Find lengths of the principal axes, co-ordinates of the foci, equations of directrices, length of the latus rectum, distance between foci, distance between directrices of the curve : x^2-y^2=16

Find lengths of the principal axes, co-ordinates of the foci, equations of directrices, length of the latus rectum, distance between foci, distance between directrices of the curve : x^2/144+y^2/25=1

Find lengths of the principal axes, co-ordinates of the foci, equations of directrices, length of the latus rectum, distance between foci, distance between directrices of the curve : 16x^2+25y^2=400

Find length of the principal axes, eccentricity, co-ordinates of the foci, equation of directices, length of the latus rectum, distacne between foci, distance between directrices, of the following ellipse : x^2/25+y^2/9=1

Find length of the principal axes, eccentricity, co-ordinates of the foci, equation of directices, length of the latus rectum, distacne between foci, distance between directrices, of the following ellipse : 3x^2+4y^2=1