Chapter 8 Loci in 2 Dimensions (8.2 Quiz)
Authored by sin yee tan
Mathematics
9th Grade
Used 155+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The diagram shows a circle with centre O and a radius of 5 cm. The circle is divided into 8 equal parts.
Which two points are intersections of two loci which are always 5 cm from point O and 5 cm from the line LOQ?
L and Q
N and S
M and R
K and P
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
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