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Coordinate Geometry — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsCoordinate Geometry5 Marks
Question
Plot the points A(1, -1) and B(4, 5):
  1. Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
  2. Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.
✓

Answer

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.

  1. 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.
  2. 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.

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