Ncert Solutions Maths class 12th

Determinant is an easy and scoring topic for class 12 board students, due to its straight forward questions, simple formulae and easy calculations. Determinants are numbers associated with each and every square matrix. There are several important topics of the Determinats including properties of determinants, minors and cofactors, adjoint and inverse of a matrix, and applications of determinants in solving systems of equations. Students should try to practice these topics as much as they can to score high in the upcominh class 12 board exams.

Students can download the NCERT Solutions for Class 12 Probability in PDF format from Shiksha.com. These Solutions provide best explanation which accurate and to the point for all the solutions. Students can visit the below given link and scroll down to click on the Download Free PDF option, then save the file in their device.

• NCERT Chapter 13 Probability Solutions for Class 12 Maths

The NCERT Solutions for Class 12 Probability provided by Shiksha are generally suffiecient for class 12th board exam preparation. These NCERT solutions are alignerd with the latest CBSE 2025 syllabus and offer step-by-step explanations for all textbook exercises. These solutions also cover important concepts of the chapter such as conditional probability, Bayes' Theorem, independent events, and total probability using simple language.

Students can access all the important formulas along with the concepts used to solve these problems on Shiksha's NCERT Solutions page for Probability. Students can check all the important formulas in the NCERT Solutions for Probability. The link of the page is provided below;

NCERT Solutions for Class 12 Probability

Bayes' Theorem results in a formula for conditional Probability which is used to determine the conditional probability of a mutually inclusive event. We have includes usage of this theorem in our Probability solutions in right places. Students can dig deeper into this theorem and learn using its formula through the NCERT Solutions provided by shiksha.

Probability holds good weight in the CBSE Class 2th board exams, Which is why questions based on conditional probability, independent events, and applications of Bayes' Theorem are frequently asked in the board exams. Shiksha's NCERT Solutions for Probability cover all these topics and mentions important formulae and concepts in every question-answer.

The graphical method in Linear Programmin is a visual approach used to find the optimal solution of questions in Linear Programming. We have provided NCERT Solutions for Class 12 Linear Programming and we have discussed graphical solutions of all the questions in the exercises for Class 12 Math Linear Programming. The constraints in linear programming are treated as coordinate point and equations are plotted on a graph as straight lines, and the region that satisfies all of them is known as the feasible region. and area outside it is considered Infeasible regions.

Shiksha's Class 12 Linear Programming, NCERT Solutions provide clear explanation for the concepts of feasible and infeasible regions;

• A feasible region is the common area on a graph that satisfies all the given constraints of a linear programming problem, including non-negativity conditions.
• An infeasible region comprises points that do not satisfy one or more of the problem's constraints. Any point outside the feasible region is considered an infeasible solution.

Students can use NCERT Solutions to understand the concepts for feasible and infeasible reason in the Linear Programming. 

The Class 12 chapter 12 Linear Programming carries a weightage of 5 to 6 marks in the Class 12 CBSE Board Exams. Most of the times one long-answer question and some times 2-3 small answer type questions are asked from this chapter. Our NCERT Solutions will help students get full marks through the practice of enough NCERT questions.