A line segment joining 2 points subtends equal angles at 2 other points lying on same side of line. All four points should lie on a .

The ratio in which the line segment joining the points (3,−4) and (−5,6) is divided by the x-axis, is

In this article, we will look at sections of a line segment. Further, we will learn the section formula, which will help us solve problems relating to position vector formula effectively. Let's find out more.

In what ratio does the y-axis divide the line segment joining the point P (-4,5) and Q (3,-7)? Also, find the coordinates of the point of intersection.

In the figure, if the line segment DF intersects the side AC of a triangle ABC at the point E such that E is the midpoint of CA and AEF = AF E, prove that BD CD = BF CE.

In the fig given below OB is the perpendicular bisector of the line segment DE,F A⊥OB and F E intersects OB at the point C. Prove that 1 OA 1 OB = 2 OC.

Question 5 Find the ratio in which line segment joining points A (1, - 5) and B (- 4, 5) is divided by x-axis. Also, find coordinates of the point of division.

In the above question, point C is called a mid-point of line segment AB, prove that every line segment has one and only one mid-point.

Find the ratio in which y -axis divides the line segment joining the points A (5, − 6) and B (− 1, − 4). Also find the coordinates of the point of division.

Point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.