Write the number of points contained in a line
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Answer:
Line
A line segment is a part of a line. When a line segment from A to B (i.e. AB) is extended beyond A in one direction and beyond B in the other direction without any end you get a model for a line. A line has arrows at both ends as it can extend indefinitely in both directions. Line is made up of an infinite number of points.
Two lines can either meet at one point only or they will not meet at all. A line can also be represented by small letters of the English alphabet. For example, if a line segment from M to N is extended beyond M in one direction and beyond N in the other, then we get a line, MN. It is denoted by
Ray
A ray is a portion of a line. It starts at one point (called starting point) and goes endlessly in one direction. Examples of a ray are: Beam of light from a light house, ray of light from a torch, sun rays. A ray is named using two capital letters. The first capital letter is the starting point of the ray and the second capital letter tells the direction in which the ray is moving.
For example, if a line from M to N is extended endlessly in the direction of N, then we get a ray, MN. It is denoted byand can be read as ray MN.
Plane
A plane is said to be a very thin flat surface that does not have any thickness, and is limitless. For example, this sheet is said to plane PQR. An infinite number of points can be contained within a plane.
Intersecting Lines
If two lines pass through a point, then we say that the two lines intersect at that point. If two lines have one common point, they are called intersecting lines. More than two lines can also intersect at one point. Examples of intersecting lines are: two adjacent edges of your notebook, the letter X of the English alphabet, crossing-roads.
For example, two lines pass though point P. These two lines are called intersecting lines.
Parallel Lines
Line segments which will not meet, however far they are extended are called parallel lines or non- intersecting lines. Parallel lines never meet, cut or cross each other. Examples of parallel lines are: the opposite edges of ruler (scale), the cross-bars of a window, the lines on a page of the notebook, rail lines.
In the figure, it can be observed that two lines are parallel. We write.
Curves
Curves can be defined as figures that flow smoothly without a break. A line is also a curve, and is called a straight curve. Curves that do not intersect themselves are called simple curves. The end points join to enclose an area. Such curves are called closed curves.
For example, Fig (i), (ii), (v) and (vi) are simple curves, whereas (iii) and (vii) are closed curves.
Position in a closed curve
A court line in a tennis court divides it into three parts : inside the line, on the
line and outside the line. You cannot enter inside without crossing the line.
In a closed curve, thus, there are three parts.
(i) interior (‘inside’) of the curve
(ii) boundary (‘on’) of the curve and
(iii) exterior (‘outside’) of the curve
The interior of a curve together with its boundary is called its “region”.
From the below figures lets find out the position of the point P with respect to the circle.
Interior of the curve. Here, point P lies inside the circle.
the line which are neverintersect each other called ....,..
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