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?
Advertisements
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
Plot the following point on the graph paper:
(−5, −7)
Plot the following point on the graph paper:
(7, −4)
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.
R(−6, −7)
Plot the following point in the coordinate system and identify the quadrant.
S(3, 5)
Write down the abscissa and ordinate of the following.
R
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 ______
If P(−1, 1), Q(3, −4), R(1, −1), S(−2, −3) and T(−4, 4) are plotted on a graph paper, then the points in the fourth quadrant are __________
Plot the following point in a graph sheet.
A(5, 2)
Plot the following point in a graph sheet.
B(−7, −3)
Find the quadrants without plotting the point on a graph sheet.
(2, 0)
Plot the following point in a graph sheet.
E(0, −5)
Find the quadrants without plotting the point on a graph sheet.
(0, 10)
Plot the following points and check whether they are collinear or not:
(1, 3), (– 1, – 1), (– 2, – 3)
Plot the following points and check whether they are collinear or not:
(0, 0), (2, 2), (5, 5)
Which of the following points lie on y-axis?
A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, – 1), F(– 1, 0), G(0, 5), H(– 7, 0), I(3, 3).
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). Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
