A line segment AB is internally divided by the point P(1,1) in the ratio 3:1.If the coordinates of A are (-5,4),then find the coordinates of B.

An object of height 5 cm is placed at a distance of 30 cm from a positive lens whose focal length is 12 cm. Find the position, nature and the size of the image formed. Also, draw a ray diagram.

prove by using the principle of similar triangles that: if a line segment divides two sides of a triangle proportionally, then it is a parallel to the third side.

Find the ratio in which the line segment joining the points (2,-3) and (4,6) is divided by the x-axis.

Find the coortinates of the point which divides the line segment joining the points (2, 3) and (4, -5) internally in the ratio 2 : 3.

If a line drawn parallel to one side of an acute angle triangle to intersect the other two sides at two distinct points ,then using trigonometric ratios prove that the other two sides are divided in the same ratio.

the extremities of a line segment AB are given below . find the co-ordinates of the points of trisections A(2,3),B(6,5).

x-axis divide the line segment joining A(2,-3) and B(5,6) in the ratio

Find the coortinates of the point of which divides the line segment joining the points (9, 5) and (-7, -3) externally in the ratio 5 : 3.

Find the coordinates of the points which divide the line segment joining A(-2,2) and B(2,8) into four equal parts.