Chapter 8

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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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

What is the definition of a locus of points?

• The sum of two numbers

• The product of two numbers

• A set of points that satisfy a certain condition or property

• The square root of a number

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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The set of points (locus) at a given distance from a straight line is _______.

• a circle

• one straight line

• two intersecting lines

• two parallel lines

The set of points (locus) equidistant from two fixed points is ______.

• one circle

• one straight line

• two circles

• two straight lines

What is the locus of a coconut falling from a tree?

• A vertical line

• A horizontal line

• A parabola

• A circle

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