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प्रश्न
Some points are shown in the following figure. With the help of it answer the following questions:
- Write the co-ordinates of the points Q and R.
- Write the co-ordinates of the points T and M.
- Which point lies in the third quadrant?
- Which are the points whose x and y co-ordinates are equal?
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उत्तर
(1) The x co-ordinate of a point is its distance from the Y-axis and the y co-ordinate of a point is its distance from the X-axis.
The co-ordinates of point Q are (−2, 2) and the co-ordinates of point R are (4, −1).
(2) The x co-ordinate of every point on the Y-axis is 0 and the y co-ordinate of every point on the X-axis is 0.
The co-ordinates of point T are (0, −1) and the co-ordinates of point M are (3, 0).
(3) The point whose x co-ordinate is negative and y co-ordinate is negative lies in the third quadrant.
Thus, the point S(−3, −2) lies in the third quadrant.
(4) The co-ordinates of point O are (0, 0).
Thus, O is the point whose x and y co-ordinates are equal.
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संबंधित प्रश्न
Plot the following point on the graph paper:
(4, −3)
Plot the following point on the graph paper:
(7, −4)
Plot the following point on the graph paper:
(−3, 2)
Plot the following point on the graph paper:
(0, −4)
On a graph paper plot the points A (3, 0), B(3, 3), C(0, 3). Join A, B and B, C. What is the figure formed?
Plot the following points on the one and the same co-ordinate system.
A(1, 3), B(-3, -1), C(1, -4), D(-2, 3), E(0, -8), F(1, 0)
Plot the following point in the coordinate system and identify the quadrant.
Q(7, −2)
Write down the abscissa and ordinate of the following.
P
Write down the abscissa and ordinate of the following.
Q
Write down the abscissa and ordinate of the following.
S
Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?
(−5, 3) (−1, 3) (0, 3) (5, 3)
Find the quadrants without plotting the point on a graph sheet.
(−9, 50)
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 | _______ |
Write the coordinates of each of the points P, Q, R, S, T and O from the figure.
Plot the following points and check whether they are collinear or not:
(0, 0), (2, 2), (5, 5)
Taking 0.5 cm as 1 unit, plot the following points on the graph paper:
A(1, 3), B(– 3, – 1), C(1, – 4), D(– 2, 3), E(0, – 8), F(1, 0)
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.
From the figure, answer the following:
- Write the points whose abscissa is 0.
- Write the points whose ordinate is 0.
- Write the points whose abscissa is –5.
