JAMB and WAEC Mathematics questions: Loci

31 questions with answers and explanations. Tap an option to check yourself.

1. Question 21· Loci· JAMB

   The locus of points equidistant from the x-axis and the y-axis is

   • Athe line y = x only
   • Bthe pair of lines y = x and y = −x
   • Cthe x-axis
   • Da circle

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   Explanation and discussion

2. Question 22· Loci· JAMB

   The locus of points equidistant from two fixed points A and B is

   • Aa circle with AB as diameter
   • Bthe perpendicular bisector of AB
   • Ca line parallel to AB
   • Dthe line AB

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   Explanation and discussion

3. Question 23· Loci· JAMB

   The locus of points equidistant from the two arms of an angle is

   • Athe bisector of the angle
   • Ba circle
   • Ca line parallel to one arm
   • Da perpendicular to one arm

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   Explanation and discussion

4. Question 24· Loci· WAEC

   Points equidistant from two parallel lines 8 cm apart lie on

   • Aa line midway between them, 4 cm from each
   • Ba line 8 cm from each
   • Ca circle of radius 4 cm
   • Deither of the two lines

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   Explanation and discussion

5. Question 25· Loci· WAEC

   The locus of points inside a circle of radius 5 cm that are 2 cm from its centre is

   • Aa circle of radius 3 cm
   • Ba circle of radius 2 cm with the same centre
   • Ca line 2 cm long
   • Da circle of radius 7 cm

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   Explanation and discussion

6. Question 26· Loci· JAMB

   The point inside a triangle that is equidistant from all three sides lies on

   • Athe altitudes
   • Bthe perpendicular bisectors of the sides
   • Cthe medians
   • Dthe bisectors of the angles of the triangle

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   Explanation and discussion

7. Question 27· Loci· WAEC

   The locus of points in space that are 3 cm from a fixed point P is

   • Aa circle of radius 3 cm
   • Ba sphere of radius 3 cm
   • Ca cylinder of radius 3 cm
   • Da plane 3 cm from P

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   Explanation and discussion

8. Question 28· Loci· JAMB

   A wheel rolls along a straight horizontal road. The locus of the centre of the wheel is

   • Aa circle
   • Ba straight line parallel to the road
   • Ca curve touching the road
   • Da single point

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   Explanation and discussion

9. Question 29· Loci· JAMB

   A point moves so that it is always 5 units from the origin. The equation of its locus is

   • Ay = 5x
   • Bx + y = 5
   • Cx² + y² = 5
   • Dx² + y² = 25

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   Explanation and discussion

10. Question 30· Loci· WAEC

    A goat is tied to a peg by a rope 4 m long. The region it can graze is

    • Aa square of side 4 m
    • Ba circle of radius 4 m and its inside
    • Ca straight line 4 m long
    • Da circle of radius 2 m

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    Explanation and discussion

11. Question 31· Loci· JAMB

    The path traced by the tip of the minute hand of a clock is

    • Aa square
    • Ba straight line
    • Ca circle
    • Da spiral

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    Explanation and discussion