• # question_answer 2) Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given letters.

Answer:

We know that, a line is a line segment which can extend indefinitely in both directions. Name of lines in all possible ways are as follows: (i) By taking A, all possible ways are $\overset{\leftrightarrow }{\mathop{AB}}\,,\overset{\leftrightarrow }{\mathop{AC}}\,$ and $\overset{\leftrightarrow }{\mathop{AD}}\,$ (ii) By taking B, all possible ways are $\overset{\leftrightarrow }{\mathop{BC}}\,,\overset{\leftrightarrow }{\mathop{BD}}\,$and $\overset{\leftrightarrow }{\mathop{BA}}\,$ (iii) By taking C, all possible ways are $\overset{\leftrightarrow }{\mathop{CD}}\,,\overset{\leftrightarrow }{\mathop{CA}}\,$and $\overset{\leftrightarrow }{\mathop{CB}}\,$ (iv) By taking D, all possible ways are $\overset{\leftrightarrow }{\mathop{DA}}\,,\overset{\leftrightarrow }{\mathop{DB}}\,$and $\overset{\leftrightarrow }{\mathop{DC}}\,$

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