Question

Question 5
Plot the points A (1, -1) and B(4, 5).
(i) Draw the line segment joining these points. Write the coordinate of a point on this line segment between the point A and B.
(ii) Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.

Answer 1

In point A(1, -1) x-coordinate is positive and y-coordinate is negative, so it lies in IV quadrant.
In Point B(4, 5), both coordinates are positive, so it lies in I quadrant. On Plotting these point we get the following graph.


(i) On joining the points A and B, we get the line segment AB. Now to find the coordinates of a point on this line segment between A and B draw a perpendicular to X-axis from x = 2. [Since, x = 2 lies between A and B] say it intersects line segment AB at P. Now, draw a perpendicular to Y-axis from P, it intersects Y– axis at y = 1. Thus we get points (2, 1) which lie between line segment AB.
(ii) Extend the line segment AB. Now draw a perpendicular to X-axis from x = 0, say it intersects extended line segment at Q on Y– axis at y = – 3. Thus, we get the point Q(0, – 3) which lies outside the line segment AB.