Intervention test

INTERVENTION SESSION

FRIDAY
15/10/2021
3.00 -4.15PM
SUBMIT YOUR WORK AT TELEGRAM 010-5162708 (TEACHER AIN)
DO IT YOUR OWN

SECTION A
1. Diagram 1 shows a parallelogram ABCD . The coordinates of the points A, B,C are

(2,0), (13,3) and (16,2) respectively.

DIAGRAM 1 [2 marks]
Find [3 marks]
a) the coordinates of point D .
b) the equation of the perpendicular bisector of AC .
Answer :

2. A (1,0) and B (-3, -5) are two fixed points. Point G (x,y) moves such that

AG : BG = 2:3. Find the equation of locus of moving point G . [5 marks]

Answer:

3. The variables x and y are related by the equation y  2x . A straight line graph is
x 1

obtained by plotting 1 against 1 as shown in Diagram 3, where m and n are
yx

constants.

DIAGRAM 3 [5 marks]
Find the value of m and n.
Answer :

4. The variables x and y are related by the equation ax2  by 2  3  0 , where a and b are
constants. A straight line is obtained by plotting y2 against x2 as shown in Diagram 4.

DIAGRAM 4 [5 marks]
Find the value of a and of b.
Answer :

SECTION B

1. Table 1 shows the values of two variables, and obtained from an experiment. The
variables and are related by the equation − = , such that and are
constants.

0.39 1.46 4.43 10.13 18.23 100.12

19.6 18.2 13.3 8.9 6.3 1.5

Table 1

(a) Construct a table for the values of .
[1 mark]

(b) Plot against , by using a scale of 2 cm to 20 unit on the -axis and 2 cm to 2 unit
on the -axis. Hence, draw the line of best fit.
[3 marks]

(c) Use your graph in 1(b) to find the value of,
(i) a ,
(ii) b
[5 marks]

(d) Another method of getting a straight line graph for the above non-linear equation is by
plotting 1 against . Without drawing the second graph, calculate the -intercept of the



graph.
[1 mark]

Answer :

2. The diagram 1 shows a quadrilateral ABCD . The point D lies on the y-axis and
DCB = 900. Given that the equation of the line AB is 4x – y – 16 = 0

Diagram 1

(a) Find

(i) The equation of the line CD . [4 marks]
(ii) The coordinates of point D . [2 marks]

(b) If T is a moving point such that its distance from E is always 5 units, find the

equation of locus T . [4 marks]

Answer: