Question

Plot the points A(1, – 1) and B(4, 5). 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.

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.