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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?
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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.
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