Question

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

Answer 1

Step-by-step explanation:

In point A(1,−1), x - coordinate is positive and y - coodinative 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 intersect 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) Extant 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,−7) which lies outside the line segment AB.