the latus rectum of the conic section is the width of the function through the focus the positive difference between the length of the latest rectum of 3y=x^2+4x-9 and x^2+4y^2-6x+16y=24 is

1st conic  :  (x+2)^2 =3(y+13/3) so it is a parabola its latus rectum is 3  
2nd conic : (x-3)^2/49  +4(y+2)^2 /49  =1 it is an ellipse its latus rectum is3.5 the positive difference is 0.5
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