Question

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


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Answer 1

Answer:

$Heya \: user$................❤

In point A ( 1,-1) , x -coordinate is positive & 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 points, we get the following graph.

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 and 3.

[since, x = 2 and 3 lies between A and B] say it intersect line segment AB at P and p’. Now, draw a perpendicular to Y-axis from P and p’, they intersect Y-axis at y = 1 and 3, respectively. Thus, we get points (2,1) and (3, 3) which lie between line segment AB.

Extent the line segment AB. Now, draw a perpendicular to X-axis from x = 5, say it intersects extended line segment at Q. Again, draw a perpendicular to Y-axis from Q and it intersects Y-axis at y = 7. Thus, we get the point Q(5,7) which lies outside the line segment AB.

Hope it’s helpful.... ☺