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.
    Why do transition metals show variable oxidation states?


      • 2.
        With the help of a labelled diagram, explain the principle, construction and working of an a.c. generator.


          • 3.
            The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.


              • 4.
                An astronomical telescope consists of two converging lenses. One of them of large aperture and large focal length is called objective lens and the other one, of smaller focal length and smaller aperture is called the eyepiece. It is used to see distant objects which are not seen clearly with naked eyes. The image formed by the objective lens acts as an object for the eyepiece and the final image produced by the eyepiece is magnified.


                  • 5.
                    Write two advantages of reflecting telescope over refracting telescope.


                      • 6.
                        Capacitors are manufactured with certain standard capacitances and working voltages. However, these standard values may not be the ones that are actually needed in a particular application. Two or more capacitors can be grouped in series or in parallel to achieve desired capacitance and voltage. When connected in series, the total capacitance decreases while the voltage rating increases, whereas in parallel connections, the total capacitance increases and maintains the same voltage rating. A capacitor stores energy in the electric field between its plates and stored energy is proportional to the square of the voltage and capacitance $U = \frac{1}{2}CV^2$, where symbols have their usual meanings.
                        Two capacitors, one of $3 \ \mu$F and the other of $6 \ \mu$F, are connected in series in the circuit as shown in the figure, for a long time. }

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