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.
A pair of parallel lines at a distance of 1 cm from the line Q.
are the same distance from two points... Apex - TF
No. A line is the locus of all points located between any two points.
The perpendicular bisector of the straight line joining the two points.
False, other geometric objects exist which can be defined as a parrticular locus of points, such as the parabola and the hyperbola.
line
Straight line
The locus of all points that are the same distance from two given points is a perpendicular bisector of the line segment connecting those two points. This line is equidistant from each of the two points at all locations along its length.
A pair of parallel lines at a distance of 1 cm from the line Q.
are the same distance from two points... Apex - TF
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 points that are the same distance from a point and a line is a parabola. In this scenario, the point acts as the focus of the parabola, while the line serves as the directrix. The shape of the parabola opens away from the line, with all points on the curve equidistant from both the focus and the directrix.
No. A line is the locus of all points located between any two points.
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).
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
a straight line ..