Class 12 RD SHARMA & RS AGGARWAL Imp Question 2021 Apk
Apk Infos
| Version | 1.4 |
| Rating | 3.5/5, based on 10 votes |
| Size | 6 MB |
| Requires Android | Android 4.4+ (KitKat) |
| Author's Notes | CBSE Class 12 Maths RD SHARMA & RS AGGARWAL Imp Question 2021. |
About Class 12 RD SHARMA & RS AGGARWAL Imp Question 2021 APK
Table Of Contents
Description
Our App Features-:-: Class 12 RD Sharma Important Questions.
-: Class 12 RS Aggarwal Important Questions.
-; Chapter wise Important Questions.
Chapters Covered as per 2021 syllabus-:
Unit I: Relations and Functions
1. Relations and Functions
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations.
2. Inverse Trigonometric Functions
Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.
Unit II: Algebra
1. Matrices
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2).Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
2. Determinants
Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
Unit III: Calculus
1. Continuity and Differentiability
Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.
Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.
2. Applications of Derivatives
Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
3. Integrals
Integration as inverse process of differentiation.Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
syllabus 12 maths integrals
Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic propertiesof definite integrals and evaluation of definite integrals.
4. Applications of the Integrals
5. Differential Equations
Definition, order and degree, general and particular solutions of a differential equation.
Unit IV: Vectors and Three-Dimensional Geometry
1. Vectors
Vectors and scalars, magnitude and direction of a vector.Direction cosines and direction ratios of a vector.
2. Three - dimensional Geometry
Direction cosines and direction ratios of a line joining two points.Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines.Cartesian and vector equation of a plane.Angle between (i) two lines, (ii) two planes, (iii) a line and a plane.Distance of a point from a plane.
Unit V: Linear Programming
1. Linear Programming
Introduction, related terminology such as constraints, objective function, optimization.
Unit VI: Probability
1. Probability
Latest updates
What's new in version 1.4
2021 latest syllabus study material and paper added.Compatible with new android versions(Android Q).
Minor Bug Fixes.
How to install Class 12 RD SHARMA & RS AGGARWAL Imp Question 2021 APK on Android phone or tablet?
Download Class 12 RD SHARMA & RS AGGARWAL Imp Question 2021 APK file from ApkClean, then follow these steps:
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Older Versions
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