Divide the line segment AB=6cm in the ratio of 3:2. Explain the construction procedure.

Let A(4,2) , B(6,5) and C(1,4) be the vertices of the △ABC. The median from A meets BC at D. Find the points which divide the line segment BE in the ratio 2 : 1 and also that divide the line segment CF in the ratio 2 : 1 .

The equation of the line dividing the line segment joining the points (2, -3), (1, 2) in the ratio 2:3 and perpendicular to 2x+5y-1=0 is

Line segment AB is divided into five equal parts. If the length of the line segment AB is 15 cm, find the length of the line segments AX and XB.

The point which divides the line segment joining the points (1,2,3 ), (3,-2,1 )in the ratio 3 : 4 is

Find the ratio in which X-axis divides the line segment joining the points (2, -3) and (5, 6). Then find the intersecting point on X-axis.

x-axis divides the line segment joining (2, -3), (5, 7) in the ratio

y-axis divides the line segment joining (3, 5), (-4, 7) in the ratio

Points P and Q are both in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 3: 2, and Q divides AB in the ratio 4:3. If PQ=2 then find the length of the line segment AB.