Coordinate Geometry Maths - Coordinate Geometry

Write the correct answer in the following:
If P(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the point(s) on the x-axis are:

1. P and R
2. R and S
3. Only Q
4. Q and O

Write the correct answer in the following:
Point (0, -7) lies:

1. On the x-axis.
2. In the second quadrant.
3. On the y-axis.
4. In the fourth quadrant.

Write the correct answer in the following:
The points (-5, 2) and (2, -5) lie in the:

1. Same quadrant.
2. II and III quadrants, respectively.
3. II and IV quadrants, respectively.
4. IV and II quadrants, respectively.

Write the correct answer in the following:
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has:

1. x coordinate = -5
2. y coordinate = 5 only
3. y coordinate = –5 only
4. y coordinate = 5 or -5

Write the correct answer in the following:
Abscissa of all the points on the x-axis is:

1. 0
2. 1
3. 2
4. Any number.

Write whether the following statements are True or False? Justify your answer.
Points (1, -1) and (-1, 1) lie in the same quadrant.

Write whether the following statements are True or False? Justify your answer.
Point (3, 0) lies in the first quadrant.

Write whether the following statements are True or False? Justify your answer.
A point lies on y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0).

Write whether the following statements are True or False? Justify your answer.
(-1, 7) is a point in the II quadrant.

Without plotting the points indicate the quadrant in which they will lie, if:
Ordinate is 5 and abscissa is 3.

Without plotting the points indicate the quadrant in which they will lie, if:
Ordinate is 5 and abscissa is -3

Without plotting the points indicate the quadrant in which they will lie, if:
Abscissa is -5 and ordinate is -3

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), S(0, 5), H(7, 0), I(3, 3).

LM is a line parallel to the y-axis at a distance of 3 units:

1. What are the coordinates of the points P, R and Q?
2. What is the difference between the abscissa of the points L and M?

Plot the points (x, y) given by the following table:

x	2	4	-3	-2	3	0
y	4	2	0	5	-3	0

Plot the following points and check whether they are collinear or not:
(1, 3), (-1, -1), (-2, 3)

Find the coordinates of the point:

1. Which lies on x and y axes both.
2. Whose ordinate is -4 and which lies on y-axis.
3. whose abscissa is 5 and which lies on x-axis.

From the answer the following:

1. Write the points whose abscissa is 0
2. Write the points whose ordinate is 0
3. Write the points whose abscissa is -5

Plot the following points and check whether they are collinear or not:
(1, 1), (2, -3), (-1, -2)

Write the coordinates of each of the points P, Q, R, S, T and O from the:

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.

In which quadrant or on which axis each of the following points lie?
(-3, 5), (4, -1), (2, 0), (2, 2), (-3, -6)

Plot the points A(1, -1) and B(4, 5):

1. Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.
2. Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.