Advertisements
Advertisements
Question
Plot the points A(1, – 1) and B(4, 5). Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
Advertisements
Solution
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.
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.
APPEARS IN
RELATED QUESTIONS
In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
Write the coordinates of each of the following points marked in the graph paper:
Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.
Plot the following points in the coordinate plane. Join them in order. What type of geometrical shape is formed?
(0, 0) (−4, 0) (−4, −4) (0, −4)
Plot the following point in a graph sheet.
A(5, 2)
Plot the following point in a graph sheet.
H(−4, 0)
Use the graph to determine the coordinates where each figure is located.
| a) Star | _______ |
| b) Bird | _______ |
| c) Red circle | _______ |
| d) Diamond | _______ |
| e) Triangle | _______ |
| f) Ant | _______ |
| g) Mango | _______ |
| h) Housefly | _______ |
| i) Medal | _______ |
| j) Spider | _______ |
If P(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the point(s) on the x-axis are ______.
Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
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.
