question_answer 1)

Draw a line, say, AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

Answer:

                Steps of Construction            1. Draw a line AB.                                         2. Take a point C outside it.                          3. Take any point D an AB.                                 4. Join C to D.                                            5. With D as centre and a convenient radius, draw an arc cutting AB at F and CD at E. 6. Now with C as centre and the same radius as in step 5, draw an arc GH cutting CD at I. 7. Place the pointed tip of the compasses at F and adjust the opening so that the pencil tip is at E. 8. With the same opening as in step 7 and with I as centre, draw an arc cutting the arc GH at J. 9. Now join CJ to draw a line 'KL' then KL is the required line.