CHIJ KC 5NA AM Prelims 2021 P2 Solution (student)

5NA AMath Prelim Paper 2 2021 1 2(i) 3 A (3, 12) , B (1, 4) 2(ii) At A (3, 12), m = 6 Equation of normal at A is At B (1, 4), m = 2 Equation of normal at B is A and B meet at the point Q ,

Coordinates of Q (-24, ) 3 Proven = - = - =

4(i) 4(ii) 5(i) 5(ii) 5(iii)

5(iv) 5(v) 6(i) Along the x-axis, , For , x-intercept: Along the y-axis, ,

6(iia) When , Graph will intersect at one point No. of solution = 1 6(iib) When , Graph is equal to No. of solution = infinite 6(iii) When or , Graph have infinite number of solutions. Range of values of m for two solutions: 7(i) 7(ii)

7(iii) - 7(iv) 8(i) +… = 8(ii) = ---------(1) = ------------(2) Simplify (1) ,

9 - 9(i) 9(ii) max h = 1.8 1.1 ( 1) = 2.9 9(iii) h = 0.7 = min h = 1.8 – 1.1(1) = 0.7

10(i) 10(ii) 11(a) S.O.R: P.O.R: S.O.R: P.O.R:

11(b) 12(i) y x

12(ii) Duration = 60 – 20 = 40 minutes 12(iii) 12(iv) - shown Approaches / tends towards 25 9