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Which geometric object is defined as the set of all points in a plane that are equidistant from a point and a line?
parabola
The only geometric objects which can be defined using the locus of points idea is a straight line circle and angle bisector?
False, other geometric objects exist which can be defined as a parrticular locus of points, such as the parabola and the hyperbola.
What is all zero dimensional geometric object?
Points are the only such objects.
What geometric figure has no length or width?
Strictly speaking, the only geometric item that has neither length nor width is a "point", but as such, it is not considered a "figure". A geometric figure is defined as a "set of points". I suppose a point could be thought of as a set containing only one element, but that rather contradicts the intention of the definition where it refers to points in the plural.As Euclid defined it: A figure is that which is contained by any boundary or boundaries.
Is distance between two distinct points on the real number line is always greater than zero?
Yes, because the distance is a metric which is defined in that way.
Which geometric object is defined as the set of all points at a given distance from a given point?
Circle
Which geometric object is defined as the set of all points in a plane at a given distance from a given point?
circle
What is defined as the distance between two points?
The metric of a geometric space is defined as the distance between two points.
What geometric object is defined as the set of all points in a given plane at a given distance from a given point?
imagine it ... a circle
Which geometric object is defined as the set of all points?
The universe.
Which geometric object is defined as the set of all points in a plane that are equidistant from two points?
line
Which geometric object is defined as the set of all points in a plane that are equidistant from a point and a line?
parabola
Which geometric object is defined as the set of all points in a plane that are equidistant from one point?
Parabola - apex
Which geometric object is defined as the set of all points that are equidistant from the two sides of an angle?
The bisector of that angle.
Which geometric object is defined as the set of all points in a plane that are equidistant from each other?
They are parallel lines
Which geometric object is defined as the set of all points in the plane that are equidistant from two points?
Parallel lines could fit the given criterior
Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?
parabola
