NCERT Exemplar Class 12 Maths Solutions

Edited By Safeer PP | Updated on Aug 04, 2022 05:22 PM IST | #CBSE Class 12th

NCERT exemplar Class 12 Maths solutions are formulated by our experts in a stepwise manner and in an easy-to-understand way. NCERT exemplar for Class 12 Maths solutions of all type of questions like short answer type questions, long-answer type questions, miscellaneous questions, HOTS and objective type questions. NCERT 12 Maths exemplar solutions according to the revised syllabus, and the format can be followed by students for CBSE Board Examinations for Class 12. The students can also refer to Class 12 Maths NCERT exemplar solutions if they are attempting the JEE Main or JEE Advanced entrance examination for admission in engineering programs.

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NCERT Exemplar Class 12 Maths Solutions
Some of The Important Topics of NCERT Exemplar Class 12 Maths Solutions :
How to Download NCERT Exemplar Class 12 Maths Solutions PDF?
Benefits of NCERT Exemplar Class 12 Maths Solutions:

Chapter-1	Relations and Functions
Chapter-2	Inverse Trigonometric Functions
Chapter-3	Matrices
Chapter-4	Determinants
Chapter-5	Continuity and Differentiability
Chapter-6	Applications of Derivatives
Chapter-7	Integrals
Chapter-8	Application Of Integrals
Chapter-9	Differential Equations
Chapter-10	Vector Algebra
Chapter-11	Three-dimensional Geometry
Chapter-12	Linear Programming
Chapter-13	Probability

Some of The Important Topics of NCERT Exemplar Class 12 Maths Solutions :

1. Calculus:

The unit Calculus in NCERT Class 12 Maths is an important unit from an exam point of view as it has a weightage of 35 marks. This unit contains chapters like Application of Derivatives, Integrals, Continuity and Differentiability, Applications of the Integrals, and Differential Equations. The students are required to go through this unit thoroughly and should not skip any chapter from the same as it is allocated the highest weightage.

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2. Vectors and Three-Dimensional Geometry:

This unit consists of chapters like Vectors and Three-Dimensional Geometry and has a weightage of 14 marks according to the revised S yllabus of NCERT. The important topics included in the chapter Vectors are Scalar Products of Vectors, Projections of Vectors on a Line, Vector Products of Vector, etc

3. Algebra:

The unit Algebra in NCERT Exemplar Class 12 Maths solutions comprises chapters like Matrices and Determinants and has a total weightage of 10 marks. The important topics that the student must cover are a multiplication of matrices, properties of symmetric and skew matrices, and finding the inverse of matrices using elementary transformation. The important topics in the chapter Determinants are properties of determinants, matrix inverse and adjoint of matrices, and system of linear equations solutions.

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How to Download NCERT Exemplar Class 12 Maths Solutions PDF?

The NCERT Exemplar Class 12 Maths solutions pdf can be downloaded using the save web page as a pdf option. The link for downloading pdf may be available soon

Benefits of NCERT Exemplar Class 12 Maths Solutions:

Experts also formulate solutions which help the students to refer to them and be aware of the steps which must be followed and the format which should be maintained while answering a problem. For every chapter, there is a solution set which can be referred by the students for their board examinations. The NCERT exemplar solutions for Class 12 Maths can be used for preparation of various competitive exams also.

Also, Read NCERT Solution subject wise

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Frequently Asked Question (FAQs)

1. How many units in NCERT Exemplar Class 12 Maths?

There are 13 units in NCERT Exemplar Class 12 Maths . If you have any doubt while solving NCERT Exemplar Class 12 questions get the help of NCERT Exemplar Class 12 Solutions

2. Is NCERT Exemplar Class 12 Maths helpful for the students?

Yes, NCERT Exemplar Class 12 Maths is helpful for the students. Because this exemplar contains practice questions from all the chapters of NCERT Class 12 Mathematics syllabus and is also helpful for JEE Main aspirants and CBSE Board Examination for Class 12.

3. How to Download NCERT Exemplar Class 12 Maths Solutions PDF?

The NCERT Exemplar Class 12 Maths solutions pdf can be downloaded by visiting the chapter links given. On clicking the chapter link corresponding chapter and its solution is opened. Download button at the top can be used to download the complete web page.

Also Read

NCERT Books for Class 12 - Download All Subjects PDFs Here

NCERT Class 12 Physics Chapter 9 Notes Ray Optics and Optical Instruments - Download PDF

NCERT Class 12 Physics Chapter 8 Notes Electromagnetic Waves - Download PDF

NCERT Class 12 Physics Chapter 7 Notes Alternating Current - Download PDF

NCERT Class 12 Physics Chapter 6 Notes Electromagnetic Induction - Download PDF

NCERT Class 12 Physics Chapter 5 Notes Magnetism and Matter - Download PDF

NCERT Class 12 Physics Chapter 4 Notes Moving Charges and Magnetism - Download PDF

NCERT Solutions for Miscellaneous Exercise Chapter 7 Class 12 - Integrals

NCERT Solutions for Exercise 4.1 Class 11 Maths Chapter 4 - Principle of Mathematical Induction

NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry

NCERT Exemplar Class 12 Physics Solutions Chapter 8 Electromagnetic Waves

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Questions related to CBSE Class 12th

Have a question related to CBSE Class 12th ?

i upload 12th board result screenshot in ncweb form from the cbse site so it is valid

hello mahima,

If you have uploaded screenshot of your 12th board result taken from CBSE official website,there won,t be a problem with that.If the screenshot that you have uploaded is clear and legible. It should display your name, roll number, marks obtained, and any other relevant details in a readable forma.ALSO, the screenshot clearly show it is from the official CBSE results portal.

hope this helps.

Read Complete Answer

Ashvadha 12 July,2024

Kya mujhe class 12 ka important question milega jo exam mai per year puche jate hai

Hello Akash,

If you are looking for important questions of class 12th then I would like to suggest you to go with previous year questions of that particular board. You can go with last 5-10 years of PYQs so and after going through all the questions you will have a clear idea about the type and level of questions that are being asked and it will help you to boost your class 12th board preparation.

You can get the Previous Year Questions (PYQs) on the official website of the respective board.

I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.

Read Complete Answer

kumardurgesh1802 10 July,2024

I have completed my 12th with arts cbse. I want to repeat my 12th with pcmb. How to become a private candidate and what are deadline to be able to appear in 2025 exam?

Hello student,

If you are planning to appear again for class 12th board exam with PCMB as a private candidate here is the right information you need:

No school admission needed! Register directly with CBSE. (But if you want to attend the school then you can take admission in any private school of your choice but it will be waste of money)
You have to appear for the 2025 12th board exams.
Registration for class 12th board exam starts around September 2024 (check CBSE website for exact dates).
Aim to register before late October to avoid extra fees.
Schools might not offer classes for private students, so focus on self-study or coaching.

Remember , these are tentative dates based on last year. Keep an eye on the CBSE website ( https://www.cbse.gov.in/ ) for the accurate and official announcement.

I hope this answer helps you. If you have more queries then feel free to share your questions with us, we will be happy to help you.

Good luck with your studies!

Read Complete Answer

kumardurgesh1802 10 July,2024

I passed my 12th cbse boards in 2023 , and first time appear for jee mains and advance in 2024 so , am i eligible for 2025 jee mains and advance ?

Hello Aspirant , Hope your doing great . As per your query , your eligible for JEE mains in the year of 2025 , Every candidate can appear for the JEE Main exam 6 times over three consecutive years . The JEE Main exam is held two times every year, in January and April.

Read Complete Answer

satyamercedes0626 23 July,2024

I've passed my class 12th board exam from cbse in PCB in 2024. Now I'll give mathematics exam from cbse as a additional subject in 2025. However, they'll provide separate marksheet for maths. Will i be eligible for jee?? And how I'll fill the form??

Hi there,

Hope you are doing fine

Yes you are certainly eligible for giving the jee exam in the year 2025. You must pass the maths exam with at least 75% criteria as required by jee and provide the marksheet and the passing certificate while registering for the exam.

Pursuing maths as an additional subject while taking biology as your main subject does not offer any hindrance in you appearing for the jee examination. It is indeed an privilege to pursue both maths and biology as the subjects and prepare for the same.

There will be no issue in filling the form while registering for the exam as it will only require your basic details and marksheet which you can provide by attaching the marksheet of maths also. Also, a detailed roadmap is also available on the official websites on how to fill the registration form. So you can fill the form easily.

Hope this resolves your query.

Read Complete Answer

Abhishek 12 July,2024

View All

Popular CBSE Class 12th 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) $0.67\; J$

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 3.8×10⁷J 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