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locus

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

Let A and B be two points. P is a point such that PA = PB, what is the locus of P?

a)

The locus of P is a circle with diameter AB

b)

The locus of P is circle with centre A and radius AB

c)

The locus of P is the perpendicular bisector of AB

d)

The locus of P is a pair of lines parallel to AB.

2.

Let A, B be two points. P is a point such that PA perpendicular to PB. What is the locus of P?

a)

The locus of P is a circle with diameter AB

b)

The locus of P is a circle with centre A and diameter AB

c)

The locus of P is the perpendicular bisector of AB

d)

The locus of P is a pair of lines parallel to AB.

3.

Given a line segment AB of length 4 cm, which of the following dotted lines may represent the locus of a point P such that the area of △PAB is always equal to 4 cm2?

a)
b)
c)
d)
4.

The locus of all the points at a fixed distance from a point A can be shown as a

a)

circumference

b)

circle

c)

square

d)

straight line

5.

The locus of all the points at a fixed distance and less from a point A can be shown as a

a)

circumference

b)

circle

c)

square

d)

straight line

6.

The locus of all the points at an equidistant distance from two points can be drawn as

a)

a segment

b)

a straight line passing through the center of both points

c)

two semicircumferences and two parallel lines

d)

a circumference

7.

The locus of all the points at an equidistant distance from a straight line can be drawn as

a)

a segment

b)

a straight line passing through the center of both points

c)

two semicircumferences and two parallel lines

d)

a circumference

8.

What is the locus of point equal distance from two points?

a)

a circle

b)

a pair of parallel line (2 parallel lines)

c)

perpendicular bisector

d)

a pair of angle bisector (2 angle bisector)

e)

2 parallel line with 2 semi-circle with center pt A and pt B

9.

What is the locus of point equal distance with a points?

a)

a circle

b)

a pair of parallel line (2 parallel lines)

c)

a pair of angle bisector (2 angle bisectors)

d)

perpendicular bisector

e)

a parallel line in between

10.

What is the locus of point equal distance with a line segment?

a)

a circle

b)

a pair of parallel line (2 parallel lines)

c)

a pair of angle bisector (2 angle bisectors)

d)

perpendicular bisector

e)

2 parallel line with 2 semi-circle centred pt A and pt B

11.

What is the locus of point equal distance with two lines?

a)

a pair of parallel line (2 parallel lines)

b)

a pair of angle bisector (2 angle bisectors)

c)

perpendicular bisector

d)

a parallel line in between

e)

2 parallel line with 2 semi-circle centred pt A and pt B

12.

What is the locus of point equal distance with a line?

a)

a circle

b)

a pair of parallel line (2 parallel lines)

c)

a pair of angle bisector (2 angle bisectors)

d)

perpendicular bisector

e)

2 parallel lines with 2 semi-circle centred pt A and pt B