question_answer 1)

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 \[\overset{\leftrightarrow }{\mathop{DC}}\,\]