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NCERT Exemplar is a great tool for students to assist them in their pursuit of higher-level exams like JEE Mains, JEE Advanced, as well as giving better conceptual understanding and in-hand practice of all the chapters. NCERT Exemplar for Class 12 Maths covers some advanced and relatively new topics like matrices, determinants, linear programming, and integrals. Students can use as many quality materials as they get in hand to practice these topics thoroughly to have a grasp on them and perform well in the exam.
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These NCERT 12 Maths solutions adhere to the 2025-26 CBSE syllabus and prepare students for CBSE Board Examinations in Class 12. Our experienced Careers360 experts have diligently made these solutions, keeping in mind their importance for the students. They explained every step of the solutions and provided all the necessary formulae to help students. A strategically made study plan with structured guidance and these solutions will give students the much-needed confidence to face the exam.
Calculus in NCERT Class 12 Maths is an important unit not only from an exam point of view but also in understanding other subjects and chapters. This unit contains chapters like Application of Derivatives, Integrals, Continuity and Differentiability, Applications of the Integrals, and Differential Equations. These units will help to make a foundation to learn Modeling, Parametric forms, Curve tracing, etc. 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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This unit consists of chapters like Vectors and Three-Dimensional Geometry, which play a vital role in understanding the directions in physics, Vector space, and Linear Algebra. It will also help in understanding projectile motion and its general equations. The important topics included in chapter Vectors are Scalar Products of Vectors, Projections of Vectors on a Line, Vector Products of Vectors, etc.
Algebra in NCERT Exemplar Class 12 Maths Solutions comprises chapters like Matrices and Determinants. The important topics that the student must cover are the multiplication of matrices, properties of symmetric and skew matrices, and finding the inverse of matrices using elementary transformation. The important topics in the chapter are properties of determinants, matrix inverses and adjoint of matrices, and systems of linear equations solutions. It is also important because it gives the idea of computer programming.
Students can use the following links to check the NCERT exemplar solutions of other subjects.
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 to by the students for their board examinations. The NCERT exemplar solutions for Class 12 Maths can also be used for the preparation of various competitive exams.
After completing the math exercises, students can check the solved exercises of other subjects from these links.
For clarity of concepts and a quick revision, students can check the following notes prepared by experienced experts at Careers360.
Having a clear idea about the latest NCERT syllabus is a necessity. The following links give students access to the 2025-26 syllabus, as well as some important reference books.
On Question asked by student community
Hello
Yes, if you’re not satisfied with your marks even after the improvement exam, many education boards allow you to reappear as a private candidate next year to improve your scores. This means you can register independently, study at your own pace, and take the exams without attending regular classes. It’s a good option to improve your results and open up more opportunities for higher studies or careers. Just make sure to check the specific rules and deadlines of your education board so you don’t miss the registration window. Keep your focus, and you will do better next time.
Hello Aspirant,
Yes, in the case that you appeared for the 2025 improvement exam and your roll number is different from what was on the previous year’s marksheet, the board will usually release a new migration certificate. This is because the migration certificate will reflect the most recent exam details, roll number and passing year. You can apply to get it from your board using the process prescribed by them either online or through your school/college.
Yes, if you miss the 1st CBSE exam due to valid reasons, then you can appear for the 2nd CBSE compartment exam.
From the academic year 2026, the board will conduct the CBSE 10th exam twice a year, while the CBSE 12th exam will be held once, as per usual. For class 10th, the second phase exam will act as the supplementary exam. Check out information on w hen the CBSE first exam 2026 will be conducted and changes in 2026 CBSE Board exam by clicking on the link .
If you want to change your stream to humanities after getting a compartment in one subject in the CBSE 12th Board Exam , you actually have limited options to qualify for your board exams. You can prepare effectively and appear in the compartment examination for mathematics again. If you do not wish to continue with the current stream, you can take readmission in the Humanities stream and start from Class 11th again, and continue studying for two more years to qualify for the 12th examination.
The GUJCET Merit List is prepared based on the Class 12th marks and GUJCET marks received by the students. CBSE students who are not from the Gujarat board can definitely compete with GSEB students, as their eligibility is decided based on the combined marks scored by them in GUJCET and the 12th board. The weightage of the GUJCET score is 40% and the weightage of the class 12 scores is 60%.
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