Loci In Two Dimensions

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

Tags

CCSS.7.G.A.3

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

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.7.G.A.3

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.

Tags

CCSS.7.G.A.3

Which of the following describes the locus X correctly?

• Locus of X is the locus of a moving point which is always equidistant from point Q

• Locus of X is the locus of a moving point which is always equidistant from point P and point R

• Locus of X is the locus of a moving point which is always equidistant from lines QP and QR

• Locus of X is the locus of a moving point which is always equidistant from line PR

Tags

CCSS.HSG.CO.C.9

• A

• B

• C

• D

Tags

CCSS.7.G.A.3

Lakarkan lokus bagi titik C.

Sketch the locus of point C.

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• 

Tags

CCSS.7.G.A.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?

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• 

Tags

CCSS.7.G.A.3

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

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

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