Locus and Hyperbola

Locus and Hyperbola
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2014-12-01 20:14
This example demonstrates how the locus of centers of circles, tangent to the x-axis and intersecting the y-axis at specific points, forms a hyperbola. Key math concepts include circles, hyperbolas, coordinate geometry, and locus. GeoGebra commands used are Point, Intersect, Circle, and Segment. Suitable for high school students learning coordinate geometry and locus.

GeoGebra Commands & Parameters

  1. Point(c) → O
  2. Intersect(a, xAxis) → B
  3. Circle(O, B) → d
  4. Intersect(d, yAxis, 2) → A
  5. Intersect(d, yAxis, 1) → C
  6. Segment(A, C) → b