NCERT Solutions for Class 12: Download Free PDFs, Important Notes

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NCERT Solutions for Class 12 are provided in the article below. The Free PDFs include easy solutions for all problems covered in the NCERT textbooks.  

NCERT Solutions for Class 12- Subject-wise

NCERT Solutions for Class 12- Subject-wise are provided in the further sections of the article:


NCERT Solutions for Class 12 Physics

NCERT Solutions for Class 12 Physics are listed below:

Class 12 Physics Chapter-wise List

Class 12 Physics Chapter-wise List is provided in the table below:


NCERT Solutions for Class 12 Chemistry

NCERT Solutions for Class 12 Chemistry are listed below:

Class 12 Chemistry Chapter-wise List

Class 12 Chemistry Chapter-wise List is as follows:


NCERT Solutions for Class 12 Biology

NCERT Solutions for Class 12 Biology are provided below:

Class 12 Biology Chapter-wise List

Class 12 Biology Chapter-wise List is given below:


NCERT Solutions for Class 12 English

CERT Solutions for Class 12 English are distributed across Flamingo, Vistas, and Kaleidoscope.

NCERT Solutions for Class 12 English Core Book: Flamingo 

Flamingo NCERT solutions include short stories, poetry, non-fiction, and drama according to the updated CBSE syllabus.

Flamingo Prose Topics and Chapter-wise Solutions

Flamingo Prose Topics and Chapter-wise Solutions as per the updated CBSE curriculum 2022-23 are provided below.

Flamingo Poetry Topics and Chapter-wise Solutions

Flamingo Poetry Topics and Chapter-wise Solutions as per the updated CBSE curriculum 2022-23 are provided below.

NCERT Solutions for Class 12 English Supplementary Book: Vistas

Vistas textbook NCERT includes eight chapters. The chapter-wise solutions and important notes are provided below:

NCERT Solutions Class 12: Kaleidoscope

Kaleidoscope solutions include short stories, poetry, non-fiction, and drama according to the updated CBSE syllabus. 

Kaleidoscope Short Stories Topics and Chapter-wise Solutions

Kaleidoscope Short Stories Topics and Chapter-wise Solutions as per the updated CBSE curriculum 2022-23 are provided below.

  1. I Sell my Dreams
  2. Eveline
  3. A Wedding in Brownsville

Kaleidoscope Poetry Topics and Chapter-wise Solutions

Kaleidoscope Poetry Topics and Chapter-wise Solutions as per the updated CBSE curriculum 2022-23 are provided below.

  1. A Lecture Upon the Shadow
  2. Poems by Milton
  3. Poems by Blake
  4. Kubla Khan
  5. Trees
  6. The Wild Swans of Coole
  7. Time and Time Again

Kaleidoscope Non-Fiction Topics and Chapter-wise Solutions

Kaleidoscope Non-Fiction Topics and Chapter-wise Solutions as per the updated CBSE curriculum 2022-23 are provided below.

  1. Freedom
  2. The Mark on the Wall
  3. Film-making
  4. Why the Novel Matters
  5. The Argumentative Indian

NCERT Solutions for Class 12 Maths

NCERT Solutions for Class 12 Maths are provided below:

Class 12 Physics Chapter-wise List and Exercise Articles

Chapter-wise topics and exercise articles are provided in the following section:

Chapter 1: Relation and Function

NCERT Solutions for Relation and Functions Chapter Exercises
Page No. 5 Exercise- 1.1
Page No. 10 Exercise- 1.2
Page No. 18 Exercise- 1.3
Page No. 24 Exercise- 1.4
Page No. 29 Miscellaneous Exercises

Also check:

Chapter 3: Matrices

NCERT Solutions for Matrices Chapter Exercises
Page No. 64 Exercise - 3.1
Page No. 80 Exercise- 3.2
Page No. 88 Exercise- 3.3
Page No. 97 Exercise- 3.4
Page No. 100 Miscellaneous Exercises

Also check:

Chapter 4: Determinants

NCERT Solutions for Determinants Chapter Exercises
Page No. 108 Exercise - 4.1
Page No. 119 Exercise- 4.2
Page No. 88 Exercise- 4.3
Page No. 97 Exercise- 4.4
Page No. 122 Exercise- 4.5
Page No. 126 Exercise- 4.6
Page No. 141 Miscellaneous Exercise

Also check:

Chapter 5: Continuity and Differentiability

NCERT Solutions for Continuity and Differentiability Chapter Exercises
Page No. 159 Exercise- 5.1
Page No. 166 Exercise- 5.2
Page No. 169 Exercise- 5.3
Page No. 174 Exercise- 5.4
Page No. 178 Exercise- 5.5
Page No. 181 Exercise- 5.6
Page No. 183 Exercise- 5.7
Page No. 186 Exercise- 5.8
Page No. 191 Miscellaneous Exercises

Also check:

Chapter 6: Application of Derivatives

NCERT Solutions for Application of Derivatives Chapter Exercises
Page No. 197 Exercise 6.1
Page No. 205 Exercise 6.2
Page No. 211 Exercise 6.3
Page No. 216 Exercise 6.4 
Page No. 231 Exercise 6.5 
Page No. 241 Miscellaneous Exercise

Also check: 

Chapter 7: Integrals

NCERT Solutions for Integrals Chapter Exercises
Page No. 299 Exercise- 7.1
Page No. 304 Exercise- 7.2
Page No. 307 Exercise- 7.3
Page No. 315 Exercise- 7.4
Page No. 322 Exercise- 7.5
Page No. 327 Exercise- 7.6
Page No. 330 Exercise- 7.7
Page No. 334 Exercise- 7.8
Page No. 338 Exercise- 7.9
Page No. 338 Exercise- 7.10
Page No. 347 Exercise- 7.11
Page No. 352 Miscellaneous Exercises

Also check: 

Chapter 8: Application of Integrals

NCERT Solutions for Application of Integrals Chapter Exercises
Page No. 365 Exercise - 8.1
Page No. 371 Exercise- 8.2
Page No. 373 Miscellaneous Exercises

Also check: Application of Integrals Handwritten Notes

Chapter 9: Differential Equation

NCERT Solutions for Differential Equation Chapter Exercises
Page No. 382 Exercise - 9.1
Page No. 385 Exercise- 9.2
Page No. 391 Exercise- 9.3
Page No. 395 Exercise- 9.4
Page No. 406 Exercise- 9.5
Page No. 413 Exercise- 9.6
Page No. 419 Miscellaneous Exercises

Also check:

Chapter 10: Vector Equation

NCERT Solutions for Vector Equation Chapter Exercises
Page No. 428 Exercise - 10.1
Page No. 440 Exercise- 10.2
Page No. 447 Exercise- 10.3
Page No. 454 Exercise- 10.4
Page No. 458 Miscellaneous Exercises

Also check: 

Chapter 11: Three Dimensional Geometry

NCERT Solutions for Three dimensional geometry Chapter Exercises
Page No. 467 Exercise - 11.1
Page No. 477 Exercise- 11.2
Page No. 493 Exercise- 11.3
Page No. 497 Miscellaneous Exercises

Also check: 

Chapter 12: Linear Programming

NCERT Solutions for Linear Programming Chapter Exercises
Page No. 513 Exercise - 12.1
Page No. 519 Exercise- 12.2
Page No. 607 Miscellaneous Exercises

Also check: 


Chapter 13: Probability

NCERT Solutions for Probability Chapter Exercises
Page No. 538 Exercise - 13.1
Page No. 546 Exercise- 13.2
Page No. 555 Exercise- 13.3
Page No. 569 Exercise- 13.4
Page No. 576 Exercise- 13.5
Page No. 582 Miscellaneous Exercises

Also check: 


Also check:

CBSE CLASS XII Related Questions

  • 1.
    A DNA molecule is 160 base pairs long. It has 30% Guanine. How many Adenine bases are present in this DNA molecule?

      • 48
      • 64
      • 96
      • 192

    • 2.
      Assertion (A) : The mass of a nucleus is less than the sum of the masses of the constituent nucleons. Reason (R) : Energy is absorbed when the nucleons are bound together to form a nucleus.

        • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
        • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
        • Assertion (A) is true, but Reason (R) is false.
        • Both Assertion (A) and Reason (R) are false.

      • 3.
        Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

          • \((P_1+P_2)\)
          • \(\dfrac{P_1+P_2}{2}\)
          • \(\dfrac{P_1P_2}{2(P_1+P_2)}\)
          • \(\dfrac{P_1P_2}{4(P_1+P_2)}\)

        • 4.
          What are reducing sugars?


            • 5.
              Explain: (i) Presence of carbonyl group in glucose. (ii) Presence of five $-$OH groups attached to different carbon atoms.


                • 6.
                  Suggest how a virus-free healthy plant can be obtained from a diseased sugarcane plant.

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