Advertisements
Advertisements
Question
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?
Solution
(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.
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 down the abscissa and ordinate of the following.
Q
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.
B(−7, −3)
Find the quadrants without plotting the point on a graph sheet.
(5, 7)
Plot the following point in a graph sheet.
H(−4, 0)
Plot the following point in a graph sheet.
I(2, 3)
Write the coordinates of each of the points P, Q, R, S, T and O from the figure.
From the figure, answer the following:
Write the points whose abscissa is – 5.
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.
