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MATHEMATICS

JAMB 2014 - Question 31

Mathematics 2014 JAMB Past Questions - Question 31: The locus of a dog tethered to a pole with a rope of 4m is .

The locus of a dog tethered to a pole with a rope of 4m is .

A: semi circle with radius 4m

B: circle with diameter 4m

C: circle with radius 4m

D: semi circle with diameter 4m

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Correct Answer

Explanation

The locus of a dog tethered to a pole with a rope of 4m is a circle. When a dog is tethered to a pole with a rope, the dog can move freely within the length of the rope, which forms a circle around the pole. The center of the circle is the location of the pole, and the radius of the circle is the length of the rope, which in this case is 4m. The dog can move anywhere along the circumference of this circle while remaining tethered to the pole.