SPM 2021 Add Maths Trial Paper (Selangor) – Paper 1 (Question 7)


Question 7:
Solutions by scale drawing is not accepted.

Diagram 2

Diagram 2 shows a trapezium ABCDE where BC is the height of the trapezium ABCDE.
Find
(a) the value of k, (2 marks)
(b) the coordinates of point C. (4 marks)


Solution:
(a)

m AB = m ED 43 74 = 0( 1 ) k0 1 3 = 1 k k=3


(b)

Equation EC, point E(2,1),  y( 1 )= 1 3 ( x2 ) y+1= 1 3 ( x2 ) 3y+3=x2 x=3y+5 ….. (1) m ED × m BC =1 1 3 × m BC =1 m BC =3 Equation BC, point E(7,4), y4=3( x7 ) y4=3x+21 y=3x+25 ….. (2) Substitute (1) into (2), y=3( 3y+5 )+25 y=9y15+25 10y=10 y=1 From (1), x=3( 1 )+5 x=8 Point C=( 8, 1 ).

Leave a Comment