NCERT Solutions for Exercise 3.3 Class 9 Maths Chapter 3 - Coordinate Geometry

NCERT Solutions for Exercise 3.3 Class 9 Maths Chapter 3 - Coordinate Geometry

Edited By Safeer PP | Updated on Jul 29, 2022 03:59 PM IST

Till now in question the points have already been marked and we have been asked to tell the coordinates but in NCERT Solutions for Class 9 Maths chapter 3 exercise 3.3. We have been given points to plot on the plane; for example, if we were given a point to plot in the cartesian plane, the first step would be to draw coordinate axes, and then we would choose a scale for the coordinate axis, such as 1 centimeter.

This Story also Contains
  1. Coordinate Geometry Class 9 Chapter 3 Exercise: 3.1
  2. More About NCERT Solution for Class 9 Maths Chapter 3 Exercise 3.3
  3. Benefits of NCERT Solutions for Class 9 Maths Exercise 3.3
  4. NCERT Solutions of Class 10 Subject Wise
  5. Subject Wise NCERT Exemplar Solutions

NCERT book Class 9 Maths exercise 3.3 is a foundation exercise for the branch of coordinate geometry as well as all of the chapters that will be covered in subsequent sessions. The following activities are included in Class 9 Mathematics chapter 3 exercise 3.3.

Coordinate Geometry Class 9 Chapter 3 Exercise: 3.1

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.

Answer:

(-2,4) lies in second quadrant

(3,-1) lies in fourth quadrant

(-1,0) lies in second quadrant

(1,2) lies in first quadrant

(-3,-5) lies in third quadrant

Q2 Plot the points (x, y) given in the following table on the plane, choosing suitable unitsof distance on the axes.

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

Answer:

So, the graph of the given points is

1640063894510

More About NCERT Solution for Class 9 Maths Chapter 3 Exercise 3.3

Chapter 3 exercise 3 in Class 9 Math offers numerous subtopics that are necessary for understanding coordinate geometry, one of which is ordered pairs. As we saw in the NCERT syllabus for Class 9 Maths exercise 3.3, Because coordinates are written as (x,y), the location of (x, y) in the Cartesian plane differs from the position of (x, y) in the Cartesian plane if x y. (y, x). As a consequence, if we swap the x and y coordinates, the location of (y, x) will be different from the position of (y, x) (x, y). This means that the order of x and y matters when it comes to how we write them (x, y). As a result, (x, y) is referred to as an ordered pair. Both x and y should be expressed exactly as they are supplied since swapping them will result in a completely different coordinate. Plotting a point in the plane if its coordinates are supplied (Exercise 3.3 Class 9 Maths) covers all forms of fundamental questions that may be generated on Plotting a point in the plane if its coordinates are given (Exercise 3.3 Class 9 Maths).

Also Read| Coordinate Geometry Class 9 Notes

Benefits of NCERT Solutions for Class 9 Maths Exercise 3.3

  • Plotting a Point on the Plane if its Coordinates are Given is a basic concept covered in Class 9 Mathematics chapter 3 problem 3.1.

  • NCERT Class 9 Maths chapter 3 exercise 3.3, will be helpful in Class 10 Maths chapter 7 coordinate geometry as the chapter starts with assuming that we know how to plot points, locate them and which quadrant they belong.

  • Class 11 Mathematics chapter 10 straight line and Class 11 Maths chapter 11 conic section would benefit from NCERT solutions for exercise 3.3 Class 9 Maths chapter 3.

  • Exercise 3.3, 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. How to know a coordinate belonging to which quadrant without plotting them in the cartesian plane?

We can know that by using general forms (+ , +) in the first quadrant, (–, +) in the second quadrant, (–, –) in the third quadrant and (+, –) in the fourth quadrant

2. How many activities are covered before Class 9 Maths chapter exercise 4.1?

One activity is covered before Class 9 Maths chapter  exercise 4.1

3. What is topic of activity covered before Class 9 Maths chapter exercise 4.1?

It is a game in which we will use two dice of separate colour and then we will take coordinate as number appeared on dice as there are two dices one will show x coordinate and other will show y coordinate 

4. How to deduce the scale of the coordinate axis?

Many a scale is of 1 unit =1 centimeter but if the coordinate are bigger such as (20,90);(30,80) then scale can be of 1 unit = 10 centimeter 

5. What does +x,+y and -x,-y depict in a coordinate plane?

+x and +y show positive real numbers and -x and -y show negative real numbers as cartesian planes have only real numbers.

6. In the NCERT answers for Class 9 Maths chapter 4 exercise, how many questions are covered?

In Class 9 Mathematics chapter exercise 4.1, there are two problems.

7. How many solved examples are there before the NCERT solutions for the Class 9 Mathematics chapter 4 exercise?

Before the NCERT solutions for Class 9 Mathematics chapter 4 exercise, there are two solved examples.

8. What kinds of questions do the NCERT answers for Class 9 Mathematics chapter 4 cover?

Question one is about telling the quadrant in which coordinate is located and in question two we have to plot the points in the cartesian plane 

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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

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 9.89×10−3 kg

Option 4)

12.89×10−3 kg

 

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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

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K/2\,

Option 2)

\; K\;

Option 3)

zero\;

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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

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

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

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Option 1)

0.02

Option 2)

3.125 × 10-2

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1.25 × 10-2

Option 4)

2.5 × 10-2

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decrease twice

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increase two fold

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remain unchanged

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be a function of the molecular mass of the substance.

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Molality

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Weight fraction of solute

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Fraction of solute present in water

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Mole fraction.

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twice that in 60 g carbon

Option 2)

6.023 × 1022

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half that in 8 g He

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less than 3

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more than 3 but less than 6

Option 3)

more than 6 but less than 9

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more than 9

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