Find the equation of the hyperbola, referred to its axes as each of co-ordinates if :
conjugate axis is 5 and passes through the point (1, -2).

Find the equation of the hyperbola, referred to its axes as each of co-ordinates if : distance between foci is 5 and conjugate axis is 3.

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : which passes through the points ( - 2, 1) and eccentricity = sqrt (2/5)

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose major axis =6 and minor axis = 4 .

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose latus-rectum is 5 and eccentricity 2/3 .

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose major axis = 8 and eccentricity = 1/2 .

Find the equation of the ellipse referred to its axes as the axes of co-ordinates : whose foci are (2, 0), (-2, 0) and latus-rectum is 6.

Find the equation of the hyperbola satisfying the given condition : Foci (0, +- 12) , conjugate axis is of length 24.

Find the equation of the hyperbola, whose asymptotes are the straight lines (x + 2y + 3) = 0, (3x + 4y + 5) = 0 and which passes through the point (1-1).

Find the equation of the line passing through the point (-1,1) and (2,4).