Co-ordinate Geometry Maths - Co-ordinate Geometry

Which of the points P(-1, 1), Q(3, -4), R( -1, -1), S(-2, -3), T (-4, 4) lie in the fourth quadrant?

What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?

In which quadrant does the point (-4, -3) lie ?

What is the equation of the X-axis ?

Any point on the line y = x is of the form _____.

Write the equation of the line parallel to the X-axis at a distance of 5 units from it and below the X-axis.

Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.

In which quadrant are the following points?
i. whose both co-ordinates are positive.
ii. whose both co-ordinates are negative.
iii. whose x co-ordinate is positive and the y co-ordinate is negative.
iv. whose x co-ordinate is negative and y co-ordinate is positive.

State in which quadrant or on which axis do the following points lie : Q(-7, -3)

State in which quadrant or on which axis do the following points lie : P(0, 2.5)

As shown in the adjoining figure, ask girls to sit in lines so as to form the X-axis and Y-axis.
i. Ask some boys to sit at the positions marked by the coloured dots in the four quadrants.
i. Now, call the students turn by turn using the initial letter of each student’s name. As his or her initial is called, the student stands and gives his or her own co-ordinates. For example Rajendra (2, 2) and Kirti (-1, 0)
iii. Even as they have fun during this field activity, the students will leam how to state the position of a point in a plane.

In which quadrant or on which axis are the points given below ?
A(5,7), B(-6,4), C(4,-7), D(-8,-9), P(-3,0), Q(0,8)

Y-axis and line x = – 4 are parallel lines. What is the distance between them?

If ‘a’ is a real number, what is the distance between the Y-axis and the line x = a?

In the graph alongside, line LM is parallel to the Y-axis.

i. What is the distance of line LM from the Y-axis?
ii. Write the co-ordinates of the points P, Q and R.
iii. What is the difference between the x co-ordinates of the points L and M?

2x - y + 1 = 0 is a linear equation in two variables in general form. Let us draw the graph of this equation.

i. Can we draw a line parallel to the Y – axis at a distance of 2 units from ¡t and to its right?
ii. Will all of the points (2, 10), (2, 8), (2, -) be on that line?
iii. What would be the equation of this line?

How many lines are there which are parallel to X-axis and having a distance 5 units?

Some points are shown in the adjoining figure. With the help of it answer the following questions :

i. Write the co-ordinates of the points Q and R.
ii. Write the co-ordinates of the points T and M.
iii. Which point lies in the third quadrant ?
iv. Which are the points whose x and y co-ordinates are equal ?

Which of the equations given below have graphs parallel to the X-axis, and which ones have graphs parallel to the Y-axis?
i. x = 3
ii. y – 2 = 0
iii. x + 6 = 0
iv. y = -5

Plot the following points on 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)

Without plotting the points on a graph, state in which quadrant or on which axis do the following points lie.
i. (5, -3)
ii. (-7, -12)
iii. (-23, 4)
iv. (-9, 5)
v. (0, -3)
vi. (-6, 0)

Draw the graphs of the equations x = 2 and y = -3.

On a graph paper, plot the points (0, 1), (1, 3), (2, 5). Are they collinear? If so, draw the line that passes through them.
i. Through which quadrants does this line pass ?
ii. Write the co-ordinates of the point at which it intersects the Y-axis.
iii. Show any point in the third quadrant which lies on this line. Write the co-ordinates of the point.

Draw the graphs of the equations given below.
i. x + y = 2
ii. 3x – y = 0
iii. 2x + y = 1

In which quadrants or on which axis are the points given below ?
(i) (5, 3)
(ii) (-2, 4)
(iii) (2, -5)
(iv) (0, 4)
(v) (-3, 0)
(vi) (-2, 2.5)
(vii) (5, 3.5)
(viii) (-3.5, 1.5)
(ix) (0, -4)
(x) (2, -4 )