Name :______________________________________________________________________ Form : 2______________________ 2____________________________ ______ LOCI IN TWO DIMENSIONS DIMENSIONS (MT F2) The paper consists of 5 subjective questions. Show all your work.
1. Construct the locus of a moving point X such that it is equidistant from a straight line AB.
A
B
2. Diagram below shows a straight line XY. Construct the locus of P such that XP = PY.
X
3.
4. The diagram below consists of squares of equal size with sides of 1 unit. (a) X is a moving point in JKLM such that it is equidistant from J and L. By using the letters in the diagram, state the locus of x. (b) On the diagram, draw the locus of a moving point i. Y that moves at a constant distance of 3 units from straight line LM, ii. Z that move at a constant distance of 5 units from point M. (c) Mark the point of intersection of the two loci with symbol ⊗ . M
L
J
K
Y
A
B
C
5. The figure shows a rhombus. H
G
I
D
F
E
Diagram above shows four squares, ABIH, BCDI, DEFI and FGHI. P, Q and R are ar e moving points in the diagram. (a) P moves such that it is equidistant from the straight lines AC and EG. State the locus of P. (b) On the diagram, draw i. the locus of W such that WI = WD, ii. the locus of X such that its distance from point G and point C are the same. (c) Mark with ⊗ the point(s) of intersections between the locus of W and the locus of X.
F
E
G
H (a) X is a moving point in the t he rhombus such that XF = XH. By using the letters in the figure, state the locus of X. (b) Y is another moving point that is equidistant from FE and FG. i. Construct the loci of X and Y on the figure, ii. Mark the intersection of the two loci with symbol ⊗ .
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Prepared by Ms Hafiza Akmal Yusoff
