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How many distinct lines can be drawn through a fixed point?

Last updated date: 23rd Feb 2024
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IVSAT 2024
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Hint: A line is defined as a one-dimensional figure that can be extended endlessly in both directions and also it has no thickness. A line is the shortest distance between two points. A point is described as a dot on a plane sheet of paper. In a plane, there are an infinite number of points.

Complete step-by-step answer:
A point has no dimensions i.e. it has no length, breadth or height. On the other hand, a line has no height or width; it has only length.
Number of lines that can be drawn through a fixed point is infinite.
To get a finite number of lines we should know at least two points.
Below is the example to prove our answer.
Suppose a point is given to us, we can draw as much line as we want from it as below,
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As, we can see above a lot more lines can be drawn from it.
We can draw an infinite line from a fixed point.

If only a point is given we can draw many or one can say infinite lines through it as per our wish. But if two points are given we can only form one line from point to another. We use a scale to draw a straight line from the points given to us. It is said that until the 17th century line was said to be the first species of quantity which is one-dimensional without any width or depth and is nothing else but a flow or run of the points.