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WorksheetsLOCI IN TWO DIMENSIONS
Total questions: 25
Worksheet time: 13mins
In the diagram, PQRS is a square. PTR is an arc of a circle with centre S. QUS is an arc of a circle with centre P.
X is the locus of a point which moves such that its distance from S is always constant. Y is the locus of a point which moves such that it is equidistant from the lines PQ and QR. Which of the points, A, B, C or D, is the intersection of the locus X and the locus Y?
A
B
C
D
In the diagram, P is the common centre of two circles, KRUQM and LTN, while Q is the common centre of the circles KLPUS and MNT.
A point Y moves such that it is always equidistant from points R and S.
The locus of Y is
the arc KM.
the straight line KU.
the arc LN.
the straight line LM.
In the diagram, PQR is an equilateral triangle with sides of 4 cm. UM and KL are two circular arcs with Q as the centre. K is the midpoint of UP.
X is the locus of a point which moves such that its distance from Q is always 3 cm. Y is the locus of a point which moves such that YQ = YR. The point of intersection of the locus X and locus Y is
N
P
M
L
In the diagram, FGKL and GHJK are squares each with sides of 3 cm. LGJ is a semicircle with centre K.
X is a point which moves such that its distance from K is always 3 cm.
Y is a point which moves such that its perpendicular distance from line FGH is always 3 cm.
Which of the following are the intersection points of loci of X and Y?
L and G
L and J
G and J
L, G and J
A point moves such that it is always 5 cm from a fixed point O. Which of the dotted lines below shows the locus of the point?
A
B
C
D
The diagram shows two circles with centres O and P. Given OP = 4 cm, S is the midpoint of OP and Q is the midpoint of SP.
A point L moves such that it is always 3 cm from point O. A point M moves such that it is always 2 cm from point P.
Which of the following points are the intersection of locus L and locus M?
S and T
Q and R
R and T
P and T
The diagram shows a Cartesian plane.
A point P moves on the plane such that it is always 3 units from the y-axis.
Another point Q moves such that it is always 3 units from point M.
The points of intersection of the loci of P and Q are
S and T only
T and V only
S and V only
U and V only
In the diagram, X and Y are the centres of two circles.
Which of the points, P, Q, R or S, is equidistant from X and Y ?
P only
Q only
P and R only
R and S only
In the diagram, P and Q are centres of two circles.
Which of the points, A, B, C or D, is 5 cm from P and less than 3 cm from Q?
A
B
C
D
The diagram shows a fan where the points M, N, P and R are equidistance from point O.
When the fan is switched on, part of the locus of point P is
the straight line OP.
the straight line NP.
the arc PR with centre O.
the arc NP with centre O.
A point moves such that it is equidistant from two fixed points, H and K.
The locus of the moving point is
an arc that joins points H and K.
a perpendicular bisector of the straight line that joins points H and K.
a circle that passes through points H and K.
a line that is parallel to the line joining points H and K.
What is the locus of a coconut falling from a tree?
A vertical line
A horizontal line
A parabola
A circle
P yang berjarak sama dari titik A dan titik C.
Menggunakan huruf-huruf dalam rajah, nyatakan lokus bagi titik P.
P which is equidistant from points A and C.
Using the letters in the diagram, state the locus of point P.
(a)
Q yang berjarak sama dari titik D dan titik C.
Menggunakan huruf-huruf dalam rajah, nyatakan lokus bagi titik Q.
Q which is equidistant from points D and C.
Using the letters in the diagram, state the locus of point Q.
(a)
R yang sentiasa berjarak 3 unit dari garis AB.
Menggunakan huruf-huruf dalam rajah, nyatakan lokus bagi titik R.
R which is always 3 units from line AB.
Using the letters in the diagram, state the locus of point R.
(a)
S yang berjarak sama dari garis AD dan BC.
Menggunakan huruf-huruf dalam rajah, nyatakan lokus bagi titik S.
S which is equidistant from lines AD and BC.
Using the letters in the diagram, state the locus of point S.
(a)
T yang berjarak sama dari garis AB dan AD.
Menggunakan huruf-huruf dalam rajah, nyatakan lokus bagi titik T.
T which is equidistant from the lines AB and AD.
Using the letters in the diagram, state the locus of point T.
(a)
U yang berjarak sama dari garis AB dan DC.
Menggunakan huruf-huruf dalam rajah, nyatakan lokus bagi titik U.
U which is equidistant from the lines AB and DC.
Using the letters in the diagram, state the locus of point U.
(a)
Given two parallel straight lines AB and CD which are 2 cm apart, which of the following dotted lines may represent the locus of a point P such that it is equidistant from AB and CD?
The figure shows an equilateral triangle ABC. Which of the following lines may represent the locus of a point P such that AP = PB?
None of the above
In the figure, ABCD is a square and its diagonals intersect at E. P is a moving point inside or on the square such that P is equidistant from AB and AD. The locus of P is
AE
AC
BE
BD
Let A and B be two points. P is a point such that PA = PB, what is the locus of P?
The locus of P is a circle with diameter AB
The locus of P is circle with centre A and radius AB
The locus of P is the perpendicular bisector of AB
The locus of P is a pair of lines parallel to AB.
Which construction is shown here?
Perpendicular bisector
Angle bisector
ASA triangle
SAS triangle
What construction would you use to map the points which are equidistant from two lines AB and AC?
Circle
Perpendicular bisector
Angle bisector
Arc
Lakarkan lokus bagi titik C.
Sketch the locus of point C.
