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The locus of a point moving with equal distance…

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Find the x - coordinate of a Point on a Line Given by its Equation

Find the x - coordinate of a Point ...
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The locus of a point moving with equal distance from a point is

  • A. a parabola
  • B. a sphere
  • C. an ellipse
  • D. a circle

QUICK ANSWER…

D

SOLUTION 

If a line is moving so that at any point, the distance between the line and a specific point is always the same, then the line must be a circle, and the constant distance between the line and the point is the radius, and the point is the canter of the circle.

RELATED!  The perpendicular bisector of a line XY is the locus of a point

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is incorrect.
  4. D is the correct answer.

KEY-POINTS…

You may please note these/this:

  • Locus simply means a particular strict pattern in which a line follows.
  • A circle is a locus of any point that is always of equal distance from the center (radius).

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/ culled from 2017 JAMB-UTME mathematics past question 18 /

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