KSS_2021_Prelims_4E AM P2 (Solutions)

2021 KSS AM Prelim P2 (Solutions) 1ai 1aii By comparing with (i), m=1 When m=1, it is not within the set of values of m for which there will be real roots, hence the curve will not meet the line/ the curve will not cut the line. 1b 2i 🡪 2ii Since the coefficient of the term is 0, it does not exist in the expansion. 3i

Since , by the converse of alternate angles, AB//CY (proven). 3ii Since two pairs of corresponding angles are equal, and are similar. 4i 4ii Accept Accept 4iii Accept

5i 5ii 5iii 6ia 6ib 6ii The number of solutions of is determined by the number of intersections between the graphs of and . 7i 7iia

7iib 7iic 8a 8bi 8bii 9ai 9aii 9aiii Nearest month = 23

9b 10i 10ii 10iii 10iv 10v All costs remain constant, no changes, no delay or emergencies to delay time. Machine runs at constant speed.