#### Chapters

## Chapter 7: Co-ordinate Geometry

#### Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry Chapter 7 Co-ordinate Geometry Exercise Practice Set 7.1 [Page 93]

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

- A (-3 , 2)
- B (-5 , -2)
- C (3.5 , 1.5)
- D (2 , 10)
- E (37 , 35)
- F (15 , -18)
- G (3 , -7)
- H (0 , -5)
- M (12 , 0)
- N (0 , 9)
- P (0 , 2.5)
- Q (-7 , -3)

In which quadrant are the following points ?

Draw the co-ordinate 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)

#### Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry Chapter 7 Co-ordinate Geometry Exercise Practice Set 7.2 [Pages 97 - 98]

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?

Which of the equation given below have graph parallel to the X-axis, and which ones have graph parallel to the Y-axis ?

x = 3

Which of the equation given below have graph parallel to the X-axis, and which ones have graph parallel to the Y-axis ?

y - 2 = 0

Which of the equation given below have graph parallel to the X-axis, and which ones have graph parallel to the Y-axis ?

x + 6 = 0

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 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

#### Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry Chapter 7 Co-ordinate Geometry Exercise Problem Set 7 [Pages 98 - 99]

Choose the correct alternative answer for the following quesiton.

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

( b , b )

( o , b )

( a , o )

( a , a )

Choose the correct alternative answer for the following quesiton.

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

( a , a )

( o , a )

( a , o )

( a , - a )

Choose the correct alternative answer for the following quesiton.

What is the equation of the X-axis ?

x = 0

y = 0

x + y = 0

x = y

Choose the correct alternative answer for the following quesiton.

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

First

Second

Third

Fourth

Choose the correct alternative answer for the following quesiton.

What is the nature of the line which includes the points

( -5,5), (6,5), (- 3,5), (0,5) ?

Passes through the origin

Parallel to Y-axis

Parallel to X-axis

None of these

Choose the correct alternative answer for the following quesiton.

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

P and T

Q and R

only S

P and R

Some points are shown in the given 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)

(-9 , 5)

(0 , -3)

(-6 , 0)

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

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 ?

## Chapter 7: Co-ordinate Geometry

## Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry chapter 7 - Co-ordinate Geometry

Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry chapter 7 (Co-ordinate Geometry) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Maharashtra state board Class 9 Mathematics 2 Geometry solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Maharashtra state board Class 9 Mathematics 2 Geometry chapter 7 Co-ordinate Geometry are Introduction of Coordinate Geometry, Cartesian System, To Plot the Points of Given Co-ordinates, Equations of Lines Parallel to the X-axis and Y-axis, Graph of a Linear Equations.

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