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The locus of points that are the same distance from a point and a line is a .?
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What does parabola mean in mathematical terms?
It is the locus of all points such that their distance from a fixed line (the directrix) is the same as their distance from a fixed point which is not on that line (the focus).
What is foci of hyperbola?
A half of a hyperbola is defined as the locus of points such that the distance of the point from one fixed point (a focus) and its distance from a fixed line (the directrix) is a constant that is greater than 1 (the eccentricity). By symmetry, a hyperbola has two foci and two directrices.
A line is the locus of points which what?
A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant. Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
What is the locus of points in a plane that are equidistant from points A and B in the plane?
a straight line ..
How do the characteristics and equations of a circle differ from those of a parabola?
In its standard form, the equation of a circle is a quadratic in both variables, x and y, whereas a parabola is quadratic in one (x) and liner in the other (y). A circle is a closed shape and comprises the locus of all points that are equidistant from one given point (the centre). A parabola is an open shape and comprises the locus of all points that are the same distance from a a straight line (the directrix) and a point not on that line (the focus).
The locus of points which are are the same distance from a point and a line is called a?
parabola
Is line is a locus of point?
No. A line is the locus of all points located between any two points.
What does parabola mean in mathematical terms?
It is the locus of all points such that their distance from a fixed line (the directrix) is the same as their distance from a fixed point which is not on that line (the focus).
Locus of all points which are the same distance from two given points?
line
A line is the locus of points that?
are the same distance from two points... Apex - TF
What is the locus of points at a given distance of a line?
The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.
Which best describes a parabola?
Given a straight line (a directrix) and a point (the focus) which is not on that line, a parabola is locus of all points whose distance form the directrix is the same as its distance from the focus.
The locus of all points which are the same distance from two given points describes a?
Straight line
What is the locus of points 1 cm from a given line Q?
A pair of parallel lines at a distance of 1 cm from the line Q.
What is foci of hyperbola?
A half of a hyperbola is defined as the locus of points such that the distance of the point from one fixed point (a focus) and its distance from a fixed line (the directrix) is a constant that is greater than 1 (the eccentricity). By symmetry, a hyperbola has two foci and two directrices.
A line is the locus of points which what?
A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant. Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
What is the locus of a moving point so that the distance between it and a line is equal to the distance between it and a fixed point?
It is going to look like a somewhat of a quadratic parabola.
