NCERT Solutions for Exercise 3.2 Class 9 Maths Chapter 3 - Coordinate Geometry

NCERT Solutions for Exercise 3.2 Class 9 Maths Chapter 3 - Coordinate Geometry

Edited By Safeer PP | Updated on Jul 29, 2022 02:58 PM IST

NCERT Solutions for Class 9 Maths chapter 3 exercise 3.2 introduces us to the cartesian system. We learned that the number line in earlier classes was the representation of the location of points in one dimension. The cartesian system represents the location of points in two dimensions. The cartesian system was developed by a great French mathematician of the seventeenth century René Déscarte.

This Story also Contains
  1. Coordinate Geometry Class 9 Chapter 3 Excercise: 3.2
  2. More About NCERT Solution for Class 9 Maths Chapter 3 Exercise 3.2
  3. Benefits of NCERT Solutions for Class 9 Maths Exercise 3.2
  4. NCERT Solutions of Class 10 Subject Wise
  5. Subject Wise NCERT Exemplar Solutions

NCERT solutions for class 9 maths chapter 3 exercise 3.2 introduces us to many terminologies such as x-axis, y-axis, origin, quadrants. NCERT solutions for Class 9 Maths exercise 3.2 is a foundation exercise for the branch of coordinate geometry as well as all of the chapters that will be covered in subsequent sessions. We gave a broad concept of this in exercise 3.2 Class 9 Maths. the cartesian plane and cartesian axis, along with this how we represent coordinates on the cartesian plane. Along with Class 9 Maths chapter 3 exercise 3.2 the following exercises are also present.

Coordinate Geometry Class 9 Chapter 3 Excercise: 3.2

Q1 (i) Write the answer of each of the following questions:

What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?

Answer:

The Horizontal line is x-axis and the Vertical line is y-axis.

Q1 (ii) Write the answer of each of the following questions:

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

Answer:

The name of each part of the plane formed by the x-axis and the y-axis is called "Quadrant".

Q1 (iii) Write the answer of each of the following questions:

Write the name of the point where these two lines intersect.

Answer:

The point where x-axis and y-axis both intersect is known as Origin.

Q2 See Fig.3.14, 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 the point D.

(vi) The ordinate of the point H.

(vii) The coordinates of the point L.

(viii) The coordinates of the point M.

1640063816505

Answer:

From the figure:

1640063871819

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

(ii) The coordinates of C are (5,-5).

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

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

(v) The abscissa of the point D is 6.

(vi) The ordinate of the point H is -3.

(vii) The coordinates of the point L are (0,5).

(viii) The coordinates of the point M are (-3,0).

More About NCERT Solution for Class 9 Maths Chapter 3 Exercise 3.2

NCERT book Class 9 Maths chapter 3 exercise 3.2 includes two questions. The question one has four subparts and it is a theory-based question it asks about the various information related to the cartesian axis and cartesian plane. Question two has eight subparts and in question two we have been given a cartesian plane and it is marked with eight points and several questions are asked about each coordinate in each subpart. Before NCERT solutions for Class 9 Maths exercise 3.2 there are two solved examples. Both are about finding the coordinates with help of a cartesian plane and also provide us with the knowledge of new terms. NCERT syllabus Exercise 3.2 Class 9 Maths covers all types of basic questions that can be formed on locating the coordinate. Exercise 3.2 Class 9 Maths has a vast variety of questions asked in each subpart of questions.

Also Read| Coordinate Geometry Class 9 Notes

Benefits of NCERT Solutions for Class 9 Maths Exercise 3.2

Class 9 Mathematics chapter 3 exercise 3.1 covers the fundamentals of identifying coordinates in the cartesian plane, which we will need to know for Class 9 Maths chapter 3 exercise 3.3. NCERT exercise 3.2 from chapter 3 of Class 9 Maths will be useful in chapter 7 of Class 10 Math: Coordinate Geometry. NCERT solutions for exercise 3.2 Class 9 Maths chapter 3 will be useful in Class 11 Maths chapter 10 straight line and Class 11 Maths chapter 11 conic section. Exercise 3.2, Class 9 Maths, is also a foundation idea for several joint entrance test themes (JEE Main).

Also see-

NCERT Solutions of Class 10 Subject Wise

Subject Wise NCERT Exemplar Solutions

Frequently Asked Questions (FAQs)

1. What is Cartesian plane according to NCERT solutions for Class 9 Maths exercise 3.2?

A cartesian plane is defined by two perpendicular number lines, A horizontal line and a vertical line

2. How do we represents coordinate in Cartesian plane?

We represent coordinate in the cartesian plane as (x,y) x is the distance from the x-axis and  y is the distance from the y-axis 

3. What is cartesian axis according to NCERT solutions for Class 9 Maths exercise 3.2?

The horizontal axis ( x-axis ) and vertical axis (y-axis ) is known as a cartesian axis as covered in exercise 3.2 Class 9 Maths

4. What is general coordinate of origin according to NCERT solutions for Class 9 Maths exercise 3.2?

(0,0) is the general coordinate of the origin

5. How many quadrants are there in the Cartesian plane?

4 quadrants are there in the cartesian plane

6. Name all the quadrant in Cartesian plane as covered exercise 3.2 Class 9 Maths.

Quadrant Ⅰ

Quadrant Ⅱ

Quadrant Ⅲ

Quadrant Ⅳ

7. General coordinates for each quadrant as referred in exercise 3.2 Class 9 Maths ?

Quadrant Ⅰ - (x,y)

Quadrant Ⅱ - (-x,y)

Quadrant Ⅲ - (-x,-y)

Quadrant Ⅳ- (x,-y)

8. What is abscissa according to NCERT solutions for Class 9 Maths exercise 3.2?

X-axis is known as  abscissa according to NCERT solutions for Class 9 Maths exercise 3.2

9. What is ordinate according to NCERT solutions for Class 9 Maths exercise 3.2?

y-axis is known as ordinate  according to NCERT solutions for Class 9 Maths exercise 3.2

Articles

Upcoming School Exams

Admit Card Date:13 December,2024 - 31 December,2024

Admit Card Date:13 December,2024 - 06 January,2025

Late Fee Application Date:21 December,2024 - 31 December,2024

Late Fee Application Date:21 December,2024 - 31 December,2024

View All School Exams
Get answers from students and experts

A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is

Option 1)

0.34\; J

Option 2)

0.16\; J

Option 3)

1.00\; J

Option 4)

0.67\; J

A person trying to lose weight by burning fat lifts a mass of 10 kg upto a height of 1 m 1000 times.  Assume that the potential energy lost each time he lowers the mass is dissipated.  How much fat will he use up considering the work done only when the weight is lifted up ?  Fat supplies 3.8×107 J of energy per kg which is converted to mechanical energy with a 20% efficiency rate.  Take g = 9.8 ms−2 :

Option 1)

2.45×10−3 kg

Option 2)

 6.45×10−3 kg

Option 3)

 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

Option 1)

2,000 \; J - 5,000\; J

Option 2)

200 \, \, J - 500 \, \, J

Option 3)

2\times 10^{5}J-3\times 10^{5}J

Option 4)

20,000 \, \, J - 50,000 \, \, J

A particle is projected at 600   to the horizontal with a kinetic energy K. The kinetic energy at the highest point

Option 1)

K/2\,

Option 2)

\; K\;

Option 3)

zero\;

Option 4)

K/4

In the reaction,

2Al_{(s)}+6HCL_{(aq)}\rightarrow 2Al^{3+}\, _{(aq)}+6Cl^{-}\, _{(aq)}+3H_{2(g)}

Option 1)

11.2\, L\, H_{2(g)}  at STP  is produced for every mole HCL_{(aq)}  consumed

Option 2)

6L\, HCl_{(aq)}  is consumed for ever 3L\, H_{2(g)}      produced

Option 3)

33.6 L\, H_{2(g)} is produced regardless of temperature and pressure for every mole Al that reacts

Option 4)

67.2\, L\, H_{2(g)} at STP is produced for every mole Al that reacts .

How many moles of magnesium phosphate, Mg_{3}(PO_{4})_{2} will contain 0.25 mole of oxygen atoms?

Option 1)

0.02

Option 2)

3.125 × 10-2

Option 3)

1.25 × 10-2

Option 4)

2.5 × 10-2

If we consider that 1/6, in place of 1/12, mass of carbon atom is taken to be the relative atomic mass unit, the mass of one mole of a substance will

Option 1)

decrease twice

Option 2)

increase two fold

Option 3)

remain unchanged

Option 4)

be a function of the molecular mass of the substance.

With increase of temperature, which of these changes?

Option 1)

Molality

Option 2)

Weight fraction of solute

Option 3)

Fraction of solute present in water

Option 4)

Mole fraction.

Number of atoms in 558.5 gram Fe (at. wt.of Fe = 55.85 g mol-1) is

Option 1)

twice that in 60 g carbon

Option 2)

6.023 × 1022

Option 3)

half that in 8 g He

Option 4)

558.5 × 6.023 × 1023

A pulley of radius 2 m is rotated about its axis by a force F = (20t - 5t2) newton (where t is measured in seconds) applied tangentially. If the moment of inertia of the pulley about its axis of rotation is 10 kg m2 , the number of rotations made by the pulley before its direction of motion if reversed, is

Option 1)

less than 3

Option 2)

more than 3 but less than 6

Option 3)

more than 6 but less than 9

Option 4)

more than 9

Back to top