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 Assignments**

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

**Question. In which quadrants do the given points lie?**

**(i) (4, -2) **

**Ans.**

(4,-2) IV quadrant

**(ii) (-3, 7) **

**Ans.**

(-3,7) II quadrant

**(iii) (-1, -2) **

**Ans.**

(-1,-2) III quadrant

**(iv) (3, 6)**

**Ans.**

(3,6) I quadrant.

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

(a) Quadrant I only **(b) Quadrant I and II(c) Quadrant I & III **

**(d) Quadrant II only**

**Ans.**

quadrant I & III

**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.**

A^{1}(2,-3)

**(ii) B(2,-3)**

**Ans.**

,B^{1}(2,3)

**(iii) C(-2,3)**

**Ans.**

C^{1}(-2,-3)

**(iv) D(-2,-3)**

**Ans.**

D^{1}(-2,3)

**Question.** If a<0 and b<0, then the point P(a,b) lies in**(a) quadrant IV ****(b) quadrant II ****(c) quadrant III ****(d) quadrant I**

**Ans.**

quadrant III

**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

All students studying in Grade 9 Mathematics Coordinate Geometry should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics Coordinate Geometry exam for standard 9. We have made sure that all topics given in your textbook for Mathematics Coordinate Geometry which is suggested in Class 9 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

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- 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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