Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

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Solution

Line:
A series of points connected by a straight path is defined as a line.
A line is usually defined by two points. A line has no thickness and can extend indefinitely in both directions.
Hence, the required name are $\overset{\leftrightarrow}{B C}, \overset{\leftrightarrow}{A D}, \overset{\leftrightarrow}{B A}, \overset{\leftrightarrow}{A B}, \overset{\leftrightarrow}{A C}, \overset{\leftrightarrow}{B D}, \overset{\leftrightarrow}{C A}, \overset{\leftrightarrow}{D A}, \overset{\leftrightarrow}{C B}, \overset{\leftrightarrow}{D C}, \overset{\leftrightarrow}{D B} and \overset{\leftrightarrow}{C D}$ .

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