LOCUS

A moving point P maintains an equal distance from two parallel lines. Which of the following does the locus of P belong to?

• A circle

• A straight line

• Two parallel lines

• Two perpendicular lines

The figure shows an equilateral triangle ABC. Which of the following lines may represent the locus of a point P such that AP = PB?

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• None of the above

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?

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Given two straight lines AB and CD that are perpendicular to each other. If P is a point such that it is equidistant from AB and CD, which of the following MUST be true?

I. The locus of P is two straight lines that are perpendicular to each other.

II. The locus of P is two parallel straight lines.

III. The locus of P is the angle bisectors of the angles formed by AB and CD.

• I only

• II only

• I and III only

• II and III only

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.

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

• The locus of P is a circle with diameter AB

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

• The locus of P is the perpendicular bisector of AB

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

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?

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