Which of the following is/are true about the ellipse x2+4y2−2x−16y+13=0?

x2+4y2−2x−16y+13=0 or  x2−2x+1+4y2−4y+4=4 or (x−1)24+(y−2)21=1Length of latus rectum =2×12=1 Also, e=1−14=32 or 2ae=2×2×32=23Sum of focal distance = 2a = 4Tangents at the vertices arex−1=±2or x = 3, -1Therefore, the line y = 3 intersects these at points P(3, 3) and Q(-1, 3).One of the foci is S(3+1,2)Slope of PS=12−3Slope of QS=1−2−3∴Product of slopes =12−3×1−2−3=−1