Ecz additional mathematics grade 12 2017 paper 1
1) Solutions to this question by scale drawing will not be accepted.
In the diagram below, PQRS is a rectangle with P(0, 3) and Q(l, 0). PR is a
diagonal with equation 7y = —x + 21.
Find
(a) the coordinates of R and of S,
(b) the area of rectangle PQRS.
2) Find the equation of the line through the point 0(0, 0) which is perpendicular
to the line through A(2,– 4) and B(l , 3). [4]
Solve the simultaneous equations
3x = y+ 7,
x2 + xy = y2 + 1.
3) In the diagram below, OABC is a sector of a circle centre O, radius r and
AC = 7.2cm. OB bisects AC at D and BD = 1.2cm.
