Ncert Solutions Maths class 12th

As per the NCERT Textbooks, An orthogonal triad in vector algebra is a 3D cordinate point system where three vectors that are mutually perpendicular to each other, meaning the angle between each pair of vectors is 90°. These vectors are typically non-zero, linearly independent, and often form the basis of 3D space like the i? , j? , k? unit vectors in the Cartesian coordinate system.

Yes, Shiksha's NCERT Solutions for Class 12 Vector Algebra do cover the concept of orthogonal triads, We have used this concept specially while explaining dot product, cross product, and geometric interpretation of vectors. 

Students can access and download the NCERT Solutions for Class 12 Vector Algebra in free PDF format from our website Shiksha.com. We provide the NCERT Solutions PDF for free for all the chapter of class 12th including the chapter 10 Vector algebra. Students can visit the below link to download the PDF;

• Chapter 10 Vector Algebra NCERT Solution PDF

Shiksha's NCERT Solutions for Class 12 Vector Algebra are designed by expert Math faculties. Our NCERT Vector Algebra Solutions provide step-by-step explanations for all NCERT textbook exercises. These Solutons covers topics of the chapter such as addition, scalar multiplication, and dot/cross products of 2 or morevector quantities. Students can use our NCERT Solutions of Vector Algebra for studying, practicing, and revising the concepts.

Shiksha provides solutions of class 11th and 12th chapters for all subjects NCERT textbooks. Our NCERT Solutions for Class 12 Differential Equations  and other chapter aligne with the latest CBSE 2025 syllabus and exam pattern. We aso provide additional information related to the chapter including importan topics, concepts, formulas, and weightae in different exams.

Class 12 Maths includes the chapter Differential Equations as a part of calculus unit. As per the formal NCER  Definition, A differential equation is an equation that contains one or more derivatives of a dependent variable with respect to one or more independent variables.

For example:

$\frac{dy}{dx}=3x+2$

Here, the derivative $\frac {dy} {dx}$ represents the rate of change of $y$ with respect to $x$, and the equation defines how this rate changes with $x$.

Students must understand that a complete understanding of the topic can only come through solving all types of questions of the chapter in other words practice all exercises of the chapter. All exercises cover different types and levels of problems, including general and particular solutions, variables separable, and linear equations. We recommend our readers to take help of our Class 12 NCERT Solutions for Differential Equations while solving all the exercises to clear doubts, understand conceptual references and using formuals whenever neccessary.

We all are aware that all the quesstions asked in the CBSE Class 12 Board Exams are based on NCERT Textbooks. This information tells that if students only cover whole NCERT textbook it will enough for the boards. Shiksha's NCERT Solutions are more than sufficient for CBSE Board Exams as they cover all textbook problems and provide accurate and step-by-step explanation of the questions. 

Differential Equations include various important topics which are important for class 12 boards as well as competitve exams. There are several important topics including order and degree of differential equations, general and particular solutions, variables separable method, homogeneous equations, and linear differential equations. Questions related to these topics are frequently asked in CBSE board exams.

While preparing the Shiksha's NCERT Solutions for Applications of Derivatives, our experts have focused to make them easy to understand, complete, and crysatal clear concptual resource. Our NCERT Solutions provide simple and step-by-step explanations of the quesrtions of the exerrcise. 

Students can tak ehelp of our Solutions to understand topics like increasing/decreasing functions, tangents, normals, and maxima/minima with clarity. Shikhsa's NCERT solutions strictly follow the latest CBSE  2025 syllabus, making them ideal for board exam preparation as well as for basic competitive exam prep.

Students should use our NCERT Applications of Derivatives Solutions to begin their JEE preparation as a resource to build strong foundation.  Our solutions follow the lates CBSE Class 12 syllabus which make them a complete resource for CBSE Boards prepaation, Yet for competitive exam like JEE, Student must go beyond NCERT and refer to advanced-level books like arihant, cengage or coaching material availble to them.