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Solutions of class 9 NCERT maths chapter 3 Coordinate Geometry

coordinate geom.class 9

Solutions of class 9 NCERT maths chapter 3 Coordinate Geometry 

coordinate geom.class 9

Solutions of class 9 NCERT maths chapter 3 Coordinate Geometry are created for class 9 CBSE students to help them in doing homework and in preparation for the forthcoming exam. Solutions of class 9 NCERT maths chapter 3 Coordinate Geometry will clear the basic concept of coordinate geometry since chapter 3 of class 9 maths is based on the introduction of the coordinate geometry which is required to solve the questions of coordinate geometry in higher classes. Solutions of class 9 NCERT maths chapter 3 Coordinate Geometry are explained here beautifully with the help of proper diagrams.

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NCERT Solutions for class 9 maths

Chapter 1- Number System Chapter 9-Areas of parallelogram and triangles
Chapter 2-Polynomial Chapter 10-Circles
Chapter 3- Coordinate Geometry Chapter 11-Construction
Chapter 4- Linear equations in two variables Chapter 12-Heron’s Formula
Chapter 5- Introduction to Euclid’s Geometry Chapter 13-Surface Areas and Volumes
Chapter 6-Lines and Angles Chapter 14-Statistics
Chapter 7-Triangles Chapter 15-Probability
Chapter 8- Quadrilateral

Solutions of class 9 NCERT maths chapter 3 Coordinate Geometry

Exercise 3.1

Q1.How will you describe the position of a table lamp on your study table to another person?

Ans. Let the table is in the shape of a rectangle.

Drawing two line of symmetry perpendicular to each other such that both the lines intersect at the centre of the table.

The horizontal line is supposed as XX’ and vertical line as YY’

position of table lamp

 

 

 

 

 

 

The position of the table lamp is ‘a’ unit distance from YY’ and ‘b’ unit distance from XX’,the position of the table is represented by (a,b) with respect to the position of the centre of the table (0,0)

Q2.Street plan: A city has two main roads which cross each other at the centre of the city . These two roads are along the north-south direction and east-west direction. All other streets of the city-run parallel to these roads and are 200 m apart. There are 5 streets in each direction.Using 1 cm = 200m.Draw a modal of the city on your notebook. Represent the roads/streets by single lines.

There are many cross streets in your modal. A particular cross street is made by two streets, one running in the north-south direction and another in an east-west direction. Each cross street is referred to in the following manner. If the second street running in the north-south direction and 5 th in the east-west direction meet at some crossing, then we will call this cross street. Using this convention, find

(i) How many cross streets can be referred to as (4,3)

(ii) How many cross streets can be referred to as (3,4)

Ans. Drawing one horizontal line XX’ and Vertical line YY’  as main roads crossing each other at the centre (0,0), thereafter drawing 5 lines parallel to XX’ and YY’ showing the 5 streets crossing each other.

street plan of a town

(i) There is only one cross streets can be represented by the unique point A(4,3)

(ii) There is only one cross streets can be represented by the unique point B(3,4)

Solutions of class 9 NCERT maths chapter 3 Coordinate Geometry

Exercise 3.2

Q1. Write the answer to each of the following questions.

(i) What is the name of the horizontal and the vertical line is drawn to determine the position of any point in the cartesian plane?

(ii) What is the name of each part of the plane formed by these two lines?

(iii) Write the name of the point where these two lines intersect.

Ans. (i) The name of the horizontal line is X-axis and the name of the vertical line is Y-axis

(ii) Each part of the plane formed by the horizontal line X-axis and the vertical line Y-axis are known as quadrants.

(iii) The name of the point where these two lines intersect is the origin

Q2.See the given figure and write the following:

(i) The coordinates of B

(ii) The  coordinates of C

(iii)The point identified by the coordinates (-3,-5)

(iv)The point identified by the coordinates (2,-4)

(v) The abscissa of point D

(vi) The ordinate of point H

(vii) The ordinate of point L

(viii) The ordinate of point M

Q2. EX. 3.3 class 9 maths

 

Ans. (i) The coordinates of B is (-5,2)

(ii) The  coordinates of C is (5,-5)

(iii)The point identified by the coordinates (-3,-5) is E

(iv)The point identified by the coordinates (2,-4) is G

(v) The abscissa of point D is 6

(vi) The ordinate of point H is -3

(vii) The coordinates of point L  is (5,0)

(viii) The coordinates of point M is (-3,0)

Solutions of class 9 NCERT maths chapter 3 Coordinate Geometry

Exercise 3.3

Q1.In which quadrant or on which axis do each of the points (-2,4),(3,-1),(-1,0),(1,2) and (-3,-5) lie? Verify your answer by locating them on the cartesian plane. 

Ans.(-2,4) lies on second quadrant

(3,-1) lies on the fourth quadrant

(-1,0) lies on X-axis

(1,2) lies on the first quadrant

(-3,-5) lies on third quadrant

Q2.Plot the points (x,y) given in the following table on the plane,choosing suitable units of distance on the axis. 

x -2 -1 0 1 2
y 8 7 -1.25 3 -1

Ans. We are given the coordinates (-2,8),(-1,7),(0,-1.25), (1,3),(2,-1)

Drawing XX’ and YY’ lines perpendicular to each other and intersect at the point O known as origin.

Taking 1 unit = 1 big square

Locating the points as following

(-2,8) : lies at the distance of 2 units from the left of the origin and 8 unit above the X-axis

(-1,7): lies at the distance of 1 unit from the left of the origin and 7 unit above the X-axis

(0,-1.25): lies at the distance of 1.25 unit below the origin on the Y-axis

(1,3): lies at the distance of 1 unit left of the origin and 3 units above the X-axis

(2,-1) lies at the distance of 2 unit right of the origin and 1 un

it below the X-axis

EX.3.3 Class 9 maths

NCERT Solutions of  Science and Maths for Class 9,10,11 and 12

 

NCERT Solutions for class 9 science 

Chapter 1-Matter in our surroundings Chapter 9- Force and laws of motion
Chapter 2-Is matter around us pure? Chapter 10- Gravitation
Chapter3- Atoms and Molecules Chapter 11- Work and Energy
Chapter 4-Structure of the Atom Chapter 12- Sound
Chapter 5-Fundamental unit of life Chapter 13-Why do we fall ill ?
Chapter 6- Tissues Chapter 14- Natural Resources
Chapter 7- Diversity in living organism Chapter 15-Improvement in food resources
Chapter 8- Motion Last years question papers & sample papers

CBSE Class 9-Question paper of science 2020 with solutions

CBSE Class 9-Sample paper of science

CBSE Class 9-Unsolved question paper of science 2019

NCERT Solutions of class 10 maths

Chapter 1-Real number Chapter 9-Some application of Trigonometry
Chapter 2-Polynomial Chapter 10-Circles
Chapter 3-Linear equations Chapter 11- Construction
Chapter 4- Quadratic equations Chapter 12-Area related to circle
Chapter 5-Arithmetic Progression Chapter 13-Surface areas and Volume
Chapter 6-Triangle Chapter 14-Statistics
Chapter 7- Co-ordinate geometry Chapter 15-Probability
Chapter 8-Trigonometry

CBSE Class 10-Question paper of maths 2021 with solutions

CBSE Class 10-Half yearly question paper of maths 2020 with solutions

CBSE Class 10 -Question paper of maths 2020 with solutions

CBSE Class 10-Question paper of maths 2019 with solutions

NCERT Solutions for Class 10 Science

Chapter 1- Chemical reactions and equations Chapter 9- Heredity and Evolution
Chapter 2- Acid, Base and Salt Chapter 10- Light reflection and refraction
Chapter 3- Metals and Non-Metals Chapter 11- Human eye and colorful world
Chapter 4- Carbon and its Compounds Chapter 12- Electricity
Chapter 5-Periodic classification of elements Chapter 13-Magnetic effect of electric current
Chapter 6- Life Process Chapter 14-Sources of Energy
Chapter 7-Control and Coordination Chapter 15-Environment
Chapter 8- How do organisms reproduce? Chapter 16-Management of Natural Resources

Solutions of class 10 last years Science question papers

CBSE Class 10 – Question paper of science 2020 with solutions

CBSE class 10 -sample paper of science

NCERT solutions of class 11 maths

Chapter 1-Sets Chapter 9-Sequences and Series
Chapter 2- Relations and functions Chapter 10- Straight Lines
Chapter 3- Trigonometry Chapter 11-Conic Sections
Chapter 4-Principle of mathematical induction Chapter 12-Introduction to three Dimensional Geometry
Chapter 5-Complex numbers Chapter 13- Limits and Derivatives
Chapter 6- Linear Inequalities Chapter 14-Mathematical Reasoning
Chapter 7- Permutations and Combinations Chapter 15- Statistics
Chapter 8- Binomial Theorem  Chapter 16- Probability

CBSE Class 11-Question paper of maths 2015

CBSE Class 11 – Second unit test of maths 2021 with solutions

NCERT solutions of class 12 maths

Chapter 1-Relations and Functions Chapter 9-Differential Equations
Chapter 2-Inverse Trigonometric Functions Chapter 10-Vector Algebra
Chapter 3-Matrices Chapter 11 – Three Dimensional Geometry
Chapter 4-Determinants Chapter 12-Linear Programming
Chapter 5- Continuity and Differentiability Chapter 13-Probability
Chapter 6- Application of Derivation CBSE Class 12- Question paper of maths 2021 with solutions
Chapter 7- Integrals
Chapter 8-Application of Integrals

 

 

 

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