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 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.

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.

Question 16 In the figure, line segment DF intersects the side AC of a ΔABC at the point E such that E is the midpoint of CA and ∠AEF and ∠AF E. Prove that BD CD = BF CE.

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.

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.

Find the coordinates of the points of trisection of the line segment joining the points A(2,−2) and B(−7,4).