 Hello and welcome to the session. In this session we discussed the following question which says, draw a line segment PQ by ruler and compass, obtain a line segment of length 3 fourth of PQ. Let's move on to the solution now. Now we will do this construction step by step. Here our first step of construction would be draw a line segment PQ. We have taken this line segment PQ of any length. In the next step we draw a perpendicular bisector of the line segment PQ. Now to draw the perpendicular bisector of PQ we will take P and Q as the centre and radius would be taken more than half of PQ and we will draw arcs. So we have drawn these arcs taking P and Q as the centre and radius more than half of PQ. Let these two arcs intersect, say at point A and these two arcs intersect, say at point B. Now we join AB. So this AB thus obtained is the perpendicular bisector of the line segment PQ. Let AB intersect PQ say at point M. So we have PM is equal to MQ and this is equal to half of PQ. In the next step we draw perpendicular bisectors of PM and Q. To draw the perpendicular bisector of PM we will take P and M as the centre and radius should be more than half of PM and we draw arcs. So we have drawn these arcs taking P and M as the centre and radius more than half of PM. Let these arcs intersect at point C and D. We join CD. So the CD is the perpendicular bisector of PM. Let CD intersect PM at point N. So we have PN is equal to NM is equal to half of PM. Next in the same way we will draw the perpendicular bisector of MQ. So we have obtained EF as the perpendicular bisector of MQ and EF intersects MQ at O. That is we have MO is equal to OQ is equal to half of MQ. So as you can see we have divided the line segment PQ into four parts PN, NM, MO and OQ. That is we now have the line segment PQ is equal to PN plus NM plus MO plus OQ. Since we need to obtain a line segment of length three-fourth of PQ. So we will take three parts out of these four parts of the line segment PQ. So we consider PN, NM and MO. So we say that PO is equal to three-fourth of PQ. So this line segment PO is of length three-fourth of PQ. So this completes the session. Hope you have understood the solution for this question.