# Assignments For Class 9 Mathematics Coordinate Geometry

Assignments for Class 9 Mathematics Coordinate Geometry have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics Coordinate Geometry from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9 Mathematics Coordinate Geometry. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Coordinate Geometry book and get good marks in class 9 exams.

#### Key Concepts for Class 9 Mathematics Coordinate Geometry

Coordinate Geometry : The branch of mathematics in which geometric problems are solved through algebra by using the coordinate system is known as coordinate geometry.

Coordinate System
Coordinate axes: The position of a point in a plane is determined with reference to two fixed mutually perpendicular lines, called the coordinate axes.

In this system, position of a point is described by ordered pair of two numbers.

Ordered pair : A pair of numbers a and b listed in a specific order with ‘a’ at the first place and ‘b’ at the second place is called an ordered pair (a, b)
Note that (a, b) ≠ (b, a)
Thus (2, 3) is one ordered pair and (3, 2) is another ordered pair.
In given figure O is called origin.
The horizontal line X1OX is called the X – axis.
The vertical line YOY’ is called the Y – axis.
P (a, b) be any point in the plane. ‘a’ the first number denotes the distance of point from Y-axis and ‘b’ the second number denotes the distance of point from X-axis.
a – X – coordinate | abscissa of P.
b – Y – coordinate | ordinate of P.
The coordinates of origin are (0, 0)
Every point on the x-axis is at a distance o unit from the X – axis. So its ordinate is 0.
Every point on the y-axis is at a distance of unit from the Y – axis. So, its abscissa is 0.

Note : Any point lying on x – axis or Y- axis does not lie in any quadrant.

#### Class 9 Mathematics Coordinate Geometry Important Questions and Answers

Question. In which quadrants do the given points lie?

(i) (4, -2)

Ans.

(ii) (-3, 7)

Ans.

(iii) (-1, -2)

Ans.

(iv) (3, 6)

Ans.

Question. The points (other than the origin) for which the abscissa is equal to the ordinate lie in

Ans.

Question. Is P (3, 2) & Q(2, 3) represent the same point?

Ans.

P(3,2) and Q(2,3) do not represent same point.

Question. The perpendicular distance of the point P(4,3) from the y axis is
(a) 3 Units

(b) 4 Units
(c) 5 Units
(d) 7 Units

Ans.

3 units

Question. In which quadrant points P(3,0), Q(6,0) , R (-7.0), S (0,-6), lie?

Ans.

These points do not lie in any quadrant. These points lie on the axes.

Question. The area of triangle OAB with 0(0,0), A(4,0) & B(0,6) is
(a) 8 sq. unit

(b) 12 sq. units
(c) 16 sq. units
(d) 24 sq. units

Ans.

12 sq. units.

Question. Find the coordinates of point which are equidistant from these two points P(3,0) and Q(-3,0). How many points are possible satisfying this condition?

Ans.

Every point on Y-axis satisfy this condition.

Question. Find the mirror images of the following point using x-axis & y-axis as mirror.

(i) A(2,3)

Ans.

A1(2,-3)

(ii) B(2,-3)

Ans.

,B1(2,3)

(iii) C(-2,3)

Ans.

C1(-2,-3)

(iv) D(-2,-3)

Ans.

D1(-2,3)

Question. If a<0 and b<0, then the point P(a,b) lies in

Ans.

Question. Draw a triangle with vertices 0(0,0) A(3,0) B(3,4). Classify the triangle and also find its area.

Ans.

right angle triangle area – 6 square units.

Question. On which axes do the given points lie?

(i) (7, 0)

Ans.

(7,0) X-axis

(ii) (0, -3)

Ans.

(0, -3) Y-axis

(iii) (0, 6)

Ans.

(0,6) Y-axis

(iv) (-5, 0)

Ans.

(-5,0) X-axis

Question. Draw a quadrilateral with vertices A(2,2) B(2,-2) C(-2,-2), D(-2,2). Classify the quadrilateral and also find its area.

Ans.

quadrilateral is square area -16 square units.

## Assignments for Class 9 Mathematics Coordinate Geometry as per CBSE NCERT pattern

Some advantages of Free Assignments for Class 9 Mathematics Coordinate Geometry

1. Solving Assignments for Mathematics Coordinate Geometry Class 9 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
2. By solving one assignments given in your class by Mathematics Coordinate Geometry teacher for class 9 will help you to keep in touch with the topic thus reducing dependence on last minute studies
3. You will be able to understand the type of questions which are expected in your Mathematics Coordinate Geometry class test
4. You will be able to revise all topics given in the ebook for Class 9 Mathematics Coordinate Geometry as all questions have been provided in the question banks
5. NCERT Class 9 Mathematics Coordinate Geometry Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
6. Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 9 Mathematics Coordinate Geometry teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 9 Mathematics Coordinate Geometry Assignments PDF.

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