Class 10 Locus (Loci) Mock Test (ICSE)

Topics in Locus (Loci)

• Meaning of locus
• Locus theorems
• Locus of points equidistant from two points or two lines
• Constructions on loci

Locus (Loci) practice questions with answers

1. Q1Multiple choice·1 mark
   The locus of the tip of the minute hand of a clock of length $7\text{ cm}$ in one complete hour is:

   1. (a)A semicircle of radius $7\text{ cm}$
   2. (b)A straight line of length $14\text{ cm}$
   3. (c)An arc of length $7\text{ cm}$
   4. (d)A circle of radius $7\text{ cm}$
   Show answer and step marks

   1. Correct option: (d)+1

   Answer: (d)
2. Q2Multiple choice·1 mark
   The locus of a point equidistant from two fixed points $A$ and $B$ is:

   1. (a)A circle with $AB$ as diameter
   2. (b)Any line passing through the midpoint of $AB$
   3. (c)The line segment $AB$ itself
   4. (d)The perpendicular bisector of the line segment $AB$
   Show answer and step marks

   1. Correct option: (d)+1

   Answer: (d)
3. Q3Multiple choice·1 mark
   The locus of a point which is equidistant from two intersecting straight lines is:

   1. (a)A pair of straight lines which are the bisectors of the angles between the given lines
   2. (b)A single straight line parallel to both given lines
   3. (c)A circle passing through the point of intersection
   4. (d)The perpendicular bisector of the line segment joining them
   Show answer and step marks

   1. Correct option: (a)+1

   Answer: (a)
4. Q4Multiple choice·1 mark
   The path traced by a point moving under a specific geometrical condition is known as:

   1. (a)A tangent
   2. (b)A secant
   3. (c)A locus
   4. (d)A chord
   Show answer and step marks

   1. Correct option: (c)+1

   Answer: (c)

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