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The locus of points refers to the set of all points that satisfy a given condition or equation. For straight lines, the locus can be defined by a linear equation, while circles are defined as the set of points equidistant from a center point. Parabolas, on the other hand, can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). This concept allows for the geometric representation of various shapes based on specific conditions.

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Can the locus of points idea be used to define straight lines circles and even more complex shapes such as parabolas?

true for apex


Although locus of points can be used to define a straight line and circle more complex shapes such as parabolas must be defined a different way?

False


Is it true that the locus of points idea can be used to define straight lines circles and even more complex shapes such as parabolas?

Yes, the locus of points concept can be used to define various geometric shapes. A straight line can be defined as the locus of points equidistant from two fixed points, while a circle is the locus of points equidistant from a single fixed point (the center). More complex shapes, such as parabolas, can also be defined as loci; for instance, a parabola can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).


Is it true or false that the locus of points idea can be used to define a straight line and circle more complex shapes such as parabolas must be defined a different way?

beach


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