Balbharati solutions for Mathematics 2 [English] Standard 9 Maharashtra State Board chapter 7 - Co-ordinate Geometry [Latest edition]

State in which quadrant or on which axis do the following points lie.

A(-3, 2)

State in which quadrant or on which axis do the following points lie.

B(-5, -2)

State in which quadrant or on which axis do the following points lie.

K(3.5, 1.5)

State in which quadrant or on which axis do the following points lie.

D(2, 10)

State in which quadrant or on which axis do the following points lie.

E(37, 35)

State in which quadrant or on which axis do the following points lie.

F(15, -18)

State in which quadrant or on which axis do the following points lie.

G(3, -7)

State in which quadrant or on which axis do the following points lie.

H(0, -5)

State in which quadrant or on which axis do the following points lie.

M(12, 0)

State in which quadrant or on which axis do the following points lie.

N(0, 9)

State in which quadrant or on which axis do the following points lie.

P(0, 2.5)

State in which quadrant or on which axis do the following points lie.

Q(-7, -3)

In which quadrant are the following points?

Whose both co-ordinates are positive.

In which quadrant are the following points?

Whose both co-ordinates are negative.

In which quadrant are the following points?

Whose x co-ordinate is positive, and the y co-ordinate is negative.

In which quadrant are the following points?

Whose x co-ordinate is negative and y co-ordinate is positive.

Draw the coordinate system on a plane and plot the following points.

L(-2, 4), M(5, 6), N(-3, -4), P(2, -3), Q(6, -5), S(7, 0), T(0, -5)

On a graph paper plot the points A (3, 0), B(3, 3), C(0, 3). Join A, B and B, C. What is the figure formed?

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

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

The point Q(- 3,-2) lies on a line parallel to the Y-axis. Write the equation of the line and draw its graph.

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

Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.

x = 3

Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.

y − 2 = 0 

Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.

x + 6 = 0

Write whether the graph of the equation given below is parallel to the X-axis or parallel to the Y-axis.

y = -5

On a graph paper, plot the points A(2, 3), B(6,-1) and C(0, 5). If those points are collinear then draw the line which includes them. Write the co-ordinates of the points at which the line intersects the X-axis and the Y-axis.

Draw the graphs of the following equations on the same system of co-ordinates. Write the co-ordinates of their points of intersection.

x + 4 = 0, y - 1 = 0, 2x + 3 = 0, 3y - 15 = 0

Draw the graph of the equation given below.

 x + y = 2

Draw the graph of the equation given below.

3x - y = 0

Draw the graph of the equation given below.

2x + y = 1

What is the form of co-ordinates of a point on the X-axis?

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

What is the equation of the X-axis?

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

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

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

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

1. Write the co-ordinates of the points Q and R.
2. Write the co-ordinates of the points T and M.
3. Which point lies in the third quadrant?
4. Which are the points whose x and y co-ordinates are equal?

Without plotting the point on a graph, state in which quadrant or on which axis do the following point lie.

(5, -3)

Without plotting the point on a graph, state in which quadrant or on which axis do the following point lie.

(-7, -12)

Without plotting the point on a graph, state in which quadrant or on which axis do the following point lie.

(-23, 4)

Without plotting the point on a graph, state in which quadrant or on which axis do the following point lie.

(-9, 5)

Without plotting the point on a graph, state in which quadrant or on which axis do the following point lie.

(0, -3)

Without plotting the point on a graph, state in which quadrant or on which axis do the following point lie.

(-6, 0)

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)

In the given figure, line LM is parallel to the Y-axis.

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

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

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