question_answer

\[l||m\]. \[\text{P}\]and \[\text{Q}\]are points on \[l\]and \[m\] respectively such that \[PQ\bot l\]. \[\text{R}\] is a point on a line n in the same plane such that\[\overline{\text{PQ}}\text{ = }\overline{\text{QR}}\]. Which of the following is true?

A) \[l||n\]

B) \[m||n\]

C) Both [a] and [b]  

D) Neither [a] nor [b]

Correct Answer: C

Solution :

Clearly, from the given data and the figure, \[1||n\,\,\text{and}\,\,m||n\].