Which of the following is/are true ?
There are infinite positive integral values of a for which (13x−1)2+(13y−2)2=(5x+12y−1a)2 represents an ellipse
The minimum distance of a point (1,2) from the ellipse 4x2+9y2+8x−36y+4=0 is 1 unit
If from a point P(0,α) two normals other than axes are drawn to the ellipse x225+y216=1, then |α|<94
If the length of latus rectum of an ellipse is one-third of its major axis, then its eccentricity is equal to 1√3