. Find the line through (3, 5) which is perpendicular to the line L with equation 33: 2y : 1. . The straight line 430 + 33; = 6 meets the xaxis at the point P and the yaxis at the point Q. Find the equation of the perpendicular bisector of PQ. . Find the equation of the circle which passes through the points (2, 2), (1,1) and (2 + 2V2 0). . Classify the following conic sections. Find its center, vertices, foci, directrix (if possible), asymptotes (if possible). Then, sketch its graph. (a) 25$2+y2+50$4y+4:0. (b) 92 893+2y+41 :0. (o) 9:132 + 4;;2 + 1856 + 16y 29 : 0. . Find the largest possible domain and the corresponding range of the following functions: (i) x) : \\/($ 1)(2$ + 3), (15%) 91(56): Vxg 2m. . Let F(:c)= lix andG(a:)=1$. (a) Find their largest possible domains and ranges. (b) Find (F o G) (:13) and states its largest possible domain. . Let f(ac) be a periodic function of :1: with period 2 and x) 2 |acl + a: for 1