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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
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.
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
| x | -2 | -1 | 0 | 1 | 3 |
| y | 8 | 7 | -1.25 | 3 | -1 |
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.
S(3, 5)
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)
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 points in the coordinate plane. Join them in order. What type of geometrical shape is formed?
(−3, 3) (2, 3) (−6, −1) (5, −1)
If the y-coordinate of a point is zero, then the point always lies ______
Plot the following point in a graph sheet.
B(−7, −3)
Find the quadrants without plotting the point on a graph sheet.
(5, 7)
Plot the following point in a graph sheet.
G(7, −4)
Plot the following point in a graph sheet.
H(−4, 0)
Find the quadrants without plotting the point on a graph sheet
(4, −3)
Find the quadrants without plotting the point on a graph sheet
(−7, 2)
Find the quadrants without plotting the point on a graph sheet.
(−8, 0)
In the following figure, coordinates of P are ______.
Plot the points P(1, 0), Q(4, 0) and S(1, 3). Find the coordinates of the point R such that PQRS is a square.
From the figure, answer the following:
Write the points whose abscissa is – 5.
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.
