Which of the following is/are true? There are infinite positive integral values of `a` for which `(13 x-1)^2+(13 y-2)^2=((5x+12 y-1)^2)/a` represents an ellipse. The minimum distance of a point (1, 2) from the ellipse `4x^2+9y^2+8x-36 y+4=0` is 1 If from a point `P(0,alpha)` two normals other than the axes are drawn to the ellipse `(x^2)/(25)+(y^2)/(16)=1` then `|alpha|<9/4dot` If the length of the latus rectum of an ellipse is one-third of its major axis, then its eccentricity is equal to `1sqrt(3)`