Careers360 Logo
School
Search Colleges, Exams, Schools & more
NCERT Solutions for Exercise 2.1 Class 10 Maths Chapter 2 - Polynomials

NCERT Solutions for Exercise 2.1 Class 10 Maths Chapter 2 - Polynomials

Edited By Ramraj Saini | Updated on Nov 02, 2023 02:04 PM IST | #CBSE Class 10th

NCERT Solutions For Class 10 Maths Chapter 2 Exercise 2.1 Polynomials

NCERT solution for class 10 maths ex 2.1 are discussed here. This exercise deals with graphs including the meaning of graphs, the number of times it intersects the x-axis i.e. zeroes. These These NCERT Solutions for exercises are created by expert team at Careers360 considering the need of students, latest syllabus and pattern of CBSE 2023-24 and comprehensively covering whole questions and answers. If you really struggling with questions then keep reading this by the end of this you will be in-depth understanding of the 10th class maths exercise 2.1 answers.

This Story also Contains
  1. NCERT Solutions For Class 10 Maths Chapter 2 Exercise 2.1 Polynomials
  2. Download PDF of NCERT Solutions For Class 10 Maths Chapter 2 Exercise 2.1 Polynomials
  3. Access Exercise 2.1 Class 10 Maths Answers
  4. Polynomials Class 10 Maths Chapter 2 Exercise: 2.1
  5. More About NCERT Solutions for Class 10 Maths Exercise 2.1
  6. Key Features of NCERT Solutions for Class 10 Maths Exercise 2.1
  7. NCERT Solutions of Class 10 Subject Wise
  8. Subject Wise NCERT Exemplar Solutions
NCERT Solutions for Exercise 2.1 Class 10 Maths Chapter 2 - Polynomials
NCERT Solutions for Exercise 2.1 Class 10 Maths Chapter 2 - Polynomials

According to general graph theory, each intersection with the x-axis of the graph indicates one zero of the Polynomial. A straight line parallel to the x-axis has no solution. A straight line parallel to y-axis has one solution. This chapter includes four exercise which are listed below, students should practice these problems to command the concepts.

PTE Registrations 2024

Register now for PTE & Unlock 10% OFF : Use promo code: 'C360SPL10'. Limited Period Offer!

Apply

Download PDF of NCERT Solutions For Class 10 Maths Chapter 2 Exercise 2.1 Polynomials

Download PDF

Access Exercise 2.1 Class 10 Maths Answers

Polynomials Class 10 Maths Chapter 2 Exercise: 2.1

Q1 (1) The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the numbers of zeroes of p(x), in each case.

1635918537229

Answer: The number of zeroes of p(x) is zero as the curve does not intersect the x-axis.

Q1 (2) The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case

1635918562539

Answer: The number of zeroes of p(x) is one as the graph intersects the x-axis only once.

Q1 (3) The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case

1635918572380


Answer: The number of zeroes of p(x) is three as the graph intersects the x-axis thrice.

Q1 (4) The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case

1635918582058

Answer: The number of zeroes of p(x) is two as the graph intersects the x-axis twice.

Q1 (5) The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case

1635918596067

Answer: The number of zeroes of p(x) is four as the graph intersects the x-axis four times.

Q1 (6) The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case

1635918606641

Answer: The number of zeroes of p(x) is three as the graph intersects the x-axis thrice.

More About NCERT Solutions for Class 10 Maths Exercise 2.1

This ex 2.1 class 10 Maths - Graph theory emphasizes knowing the various states of the graph resembling the characteristic of the polynomial. The NCERT solutions for Class 10 Maths exercise 2.1 mainly focused on the concept number of zeroes or solutions of the polynomial determined through its graph. The concepts discussed in class 10 maths ex 2.1 questions and answers are important for competitive exams such as Boards and JEE, therefore practice them to command these concepts.

Key Features of NCERT Solutions for Class 10 Maths Exercise 2.1

  • NCERT solutions for Class 10 Maths exercise 2.1 assist students in resolving and reviewing all of the exercises questions.
  • If you go over the NCERT answer for Class 10th Maths chapter 2 exercise 2.1 properly, you will be able to gain more marks and will be able to do well in maths in examinations.
  • 10th class maths exercise 2.1 answers, is based on basic concepts of graphs namely the number of zeroes represented by the graphs. students can also study Real Numbers Class 10 Notes to revise the concepts quickly.

Also see-

NCERT Solutions of Class 10 Subject Wise

Subject Wise NCERT Exemplar Solutions

Frequently Asked Question (FAQs)

1. What is the graph representation of polynomials according to NCERT syllabusClass 10 Maths?

Graph representation of a polynomial is plotting the values of x against the evaluated values of y and then analyzing the characteristics of the graphs whether it has no solution, one solution, two solutions or infinite solution etc depending upon how many times the graph intersects the x-axis.

2. What is meant by the zero of the polynomial?

The value of x for which the polynomial becomes zero. 

3. How are the graphs plotted?

Consider y=P(x) be any polynomial equation. To plot in the graph evaluate the value of y for each value of x and find ordered pair such as (considered value of x , evaluated value of y) plot it in the graph against the cartesian plane(a cartesian plane is a plane consisting of x-axis and y-axis).

4. Which graph represents the polynomial with infinite zeros?

 The graph in which there is a straight line coincident with the x-axis, it represents the graph with infinite solutions.

5. Which graph represents the polynomial with no solution?

Any graph which does not intersect the x-axis represents the graph with no solution.

6. Is the degree of the polynomial always equal to the number of zeroes?

No, it is not necessary.

For eg: A quadratic graph that does not intersect the x-axis has degree 2 but has 0 zeroes.

Also Read

Articles

Upcoming School Exams

National Means Cum-Merit Scholarship

Application Date:01 August,2024 - 16 September,2024

International General Knowledge Olympiad

Exam Date:19 September,2024 - 19 September,2024

Unified Cyber Olympiad

Exam Date:20 September,2024 - 20 September,2024

International English Olympiad

Exam Date:26 September,2024 - 26 September,2024

International Olympiad of Mathematics

Application Date:30 September,2024 - 30 September,2024

View All School Exams

Certifications By Top Providers

Edx
 1113 courses
Coursera
 804 courses
Udemy
 394 courses
Futurelearn
 222 courses
Harvard University, Cambridge
 98 courses
IBM
 85 courses

Explore Top Universities Across Globe

University of Essex, Colchester
  Wivenhoe Park Colchester CO4 3SQ
University College London, London
  Gower Street, London, WC1E 6BT
The University of Edinburgh, Edinburgh
  Old College, South Bridge, Edinburgh, Post Code EH8 9YL
University of Bristol, Bristol
  Beacon House, Queens Road, Bristol, BS8 1QU
University of Delaware, Newark
  Newark, DE 19716
University of Nottingham, Nottingham
  University Park, Nottingham NG7 2RD

Related E-books & Sample Papers

Questions related to CBSE Class 10th

Have a question related to CBSE Class 10th ?
sadhu ashram ramgart road aligarh

Hello

The Sadhu Ashram in Aligarh is located in Chhalesar . The ashram is open every day of the week, except for Thursdays . On Mondays, Wednesdays, and Saturdays, it's open from 8:00 a.m. to 7:30 p.m., while on Tuesdays and Fridays, it's open from 7:30 a.m. to 7:30 p.m. and 7:30 a.m. to 6:00 a.m., respectively . Sundays have varying hours from 7:00 a.m. to 8:30 p.m. . You can find it at Chhalesar, Aligarh - 202127 .

Read Complete Answer
vaibhavi bhalsod 01 September,2024
show the previous year exams ?

Hello Aspirant,  Hope your doing great,  your question was incomplete and regarding  what exam your asking.

Read Complete Answer
SWETCHCHA MISKA 10 July,2024
as an icse student in class 10 is above 80 percent good enough to get into commerce in 11th cbse

Yes, scoring above 80% in ICSE Class 10 exams typically meets the requirements to get into the Commerce stream in Class 11th under the CBSE board . Admission criteria can vary between schools, so it is advisable to check the specific requirements of the intended CBSE school. Generally, a good academic record with a score above 80% in ICSE 10th result is considered strong for such transitions.

Read Complete Answer
Manasvini Gupta 23 July,2024
i had cleared 10th from cbse in 2022 2 years ago now i wish to apply for 12th as private candidate in 2025. can i do so?

hello Zaid,

Yes, you can apply for 12th grade as a private candidate .You will need to follow the registration process and fulfill the eligibility criteria set by CBSE for private candidates.If you haven't given the 11th grade exam ,you would be able to appear for the 12th exam directly without having passed 11th grade. you will need to give certain tests in the school you are getting addmission to prove your eligibilty.

best of luck!

Read Complete Answer
Ashvadha 03 July,2024
i had cleared 10th in 2022 from cbse can i apply for 12th as private candidate this year?

According to cbse norms candidates who have completed class 10th, class 11th, have a gap year or have failed class 12th can appear for admission in 12th class.for admission in cbse board you need to clear your 11th class first and you must have studied from CBSE board or any other recognized and equivalent board/school.

You are not eligible for cbse board but you can still do 12th from nios which allow candidates to take admission in 12th class as a private student without completing 11th.

Read Complete Answer
sadafreen356 03 July,2024
View All

Popular CBSE Class 10th Questions

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
Read More

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

 
Read More

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
Read More

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
Read More

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 .
Read More

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
Read More

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.
Read More

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.
Read More

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
Read More

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
Read More

Colleges After 12th

Applications for Admissions are open.

Tallentex 2025 - ALLEN's Talent Encouragement Exam
Tallentex 2025 - ALLEN's Talent Encouragement Exam
Apply

Register for Tallentex '25 - One of The Biggest Talent Encouragement Exam

JEE Main Important Physics formulas
JEE Main Important Physics formulas
Apply

As per latest 2024 syllabus. Physics formulas, equations, & laws of class 11 & 12th chapters

JEE Main Important Chemistry formulas
JEE Main Important Chemistry formulas
Apply

As per latest 2024 syllabus. Chemistry formulas, equations, & laws of class 11 & 12th chapters

TOEFL ® Registrations 2024
TOEFL ® Registrations 2024
Apply

Accepted by more than 11,000 universities in over 150 countries worldwide

PTE Registrations 2024
PTE Registrations 2024
Apply

Register now for PTE & Unlock 10% OFF : Use promo code: 'C360SPL10'. Limited Period Offer!

JEE Main high scoring chapters and topics
JEE Main high scoring chapters and topics
Apply

As per latest 2024 syllabus. Study 40% syllabus and score upto 100% marks in JEE

View All Application Forms
News and Notifications
CBSE conducts surprise inspections at 27 schools in Rajasthan, Delhi to curb menace of dummy schools
September 03, 2024 - 03:02 PM IST
CBSE Class 10 compartment result 2024 declared; 48.83% pass
August 05, 2024 - 03:14 PM IST
CBSE Class 10 compartment result 2024 soon; passing marks, websites to check
August 05, 2024 - 02:44 PM IST
CBSE Class 10 compartment result 2024 expected soon at cbseresults.nic.in; grading system, passing marks
August 04, 2024 - 04:20 PM IST
CBSE Class 10 compartment result 2024 soon at cbseresults.nic.in; websites to check
August 03, 2024 - 04:38 PM IST
CBSE 10th, 12th revaluation lot 2 result 2024 out at cbseresults.nic.in; passing marks
July 30, 2024 - 06:39 PM IST
CBSE: No open book exams for Classes 10, 12 this year; pilot only in a few schools
June 12, 2024 - 10:52 AM IST

Stay up-to date with CBSE Class 10th News

Back to top