Given a line segment AB joining the points A (-4, 6) and B (8, -3). Find:
(i) the ratio in which AB is divided by the y-axis.
(ii) find the coordinates of the point of intersection.
(iii)the length of AB.
Solution:
(i) Write down the coordinates of the point P that divides the line joining A (-4, 1) and B (17, 10) in ratio 1 : 2.
(ii) Calculate the distance OP where O is the origin.
(iii) In what ratio does the y-axis divide the line AB?
Solution:
More Solutions:
- The reflection of the point P (-2, 3) in the x-axis is
- The reflection of the point P (1, -2) in the line y = -1 is
- The point P (4, -7) on reflection in x-axis is mapped onto P’.
- A (4, -1), B (0, 7) and C (-2, 5) are the vertices of a triangle.
- The points A (4, -11), B (5, 3), C (2, 15), and D (1, 1).
- Find the coordinates of the mid-point of the line segments.