## Chepter 4 Matha Class 12

###### Chemistry Notes for class 12 Chapter 4 Chemical Kinetics

Chemistry Notes for class 12 Chapter 4 Chemical Kinetics The branch of chemistry, which deals with the rate of chemical reactions. the factors affecting the rate of reactions and the mechanism of the reaction. is called chemical kinetics. Chemical Reactions on the Basis of Rate of Reaction 1. Fast/instantaneous reactions Chemical reaction which completes in less than Ips (10-12 s) time, IS ...

###### Mathematics Notes for Class 12 chapter 4. Determinants

Mathematics Notes for Class 12 chapter 4. Determinants Determinant Every square matrix A is associated with a number, called its determinant and it is denoted by det (A) or |A| . Only square matrices have determinants. The matrices which are not square do not have determinants (i) First Order Determinant If A = [a], then det (A) = |A| = a (ii) Second Order Determinant |A| = a 11 a 22 – a 21 ...

###### Class-XII-Maths Inverse Trigonometric Functions

CBSE NCERT Solutions for Class 12 Maths Chapter 02 Back of Chapter Questions EXERCISE 2.1 1. Find the principal value of sin−1 ... 12 =9𝜋 12 =3𝜋 4 12. −Find the value of cos1(1 2) +2sin−1(1 2) Solution: Let cos−1(1 2)= , then cos =1 2 =cos𝜋 3 We know that the range of the principal value of −cos1 [is 0,𝜋] and cos𝜋 3 =1 2. Hence, cos−1(1 2)=𝜋 3 Let sin−1(1 2)= ,

###### Design of Question Paper Mathematics - Class XII

Mathematics - Class XII Time : 3 hours Max. Marks : 100 Weightage of marks over different dimensions of the question paper shall be as follows : A. Weightage to dif ferent topics/content units S.No. Topics Marks 1. Relations and functions 10 2. Algebra 13 3. Calculus 44 4. Vectors & three-dimensional Geometry 17 5. Linear programming 06 6. Probability 10 Total 100 B. Weightage to dif ferent ...

###### Mathematics Notes for Class 12 chapter 6. Application of ...

Mathematics Notes for Class 12 chapter 6. Application of Derivatives Tangents and Normals The derivative of the curve y = f(x) is f ‗(x) which represents the slope of tangent and equation of the tangent to the curve at P is where (x, y) is an arbitrary point on the tangent. The equation of normal at (x, y) to the curve is 1. If then the equations of the tangent and normal at (x, y) are (Y �

###### BLUE PRINT - II MATHEMATICS CLASS - XII

BLUE PRINT - II MATHEMATICS CLASS - XII S.No. T opic VSA SA LA TOTAL (1 Mark) (4 Marks) (6 Marks) 1. (a) Relations and Functions _____ 4 (1) 6 (1) 10 (2) (b) Inverse trigonometric Functions 2. (a) Matrices Determinants 2 (2) 6 (1) 8 (3) 13 (5) (b) 1 (1) 4 (1) 5 (2) 3. (a) Continuity and Differentiability 1 (1) 8 (2) - } 20 (6) (b) Applications ...

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###### Relations and Functions 19.10.06 - Prashanth Ellina

RELATIONS AND FUNCTIONS 3 Definition 4 A relation R in a set A is said to be an equivalence relation if R is reflexive, symmetric and transitive. Example 2 Let T be the set of all triangles in a plane with R a relation in T given by R = {(T 1, T 2) : T 1 is congruent to T 2}. Show that R is an equivalence relation.

###### Continuity and Differentiability 01.11.2006

This chapter is essentially a continuation of our study of differentiation of functions in Class XI. We had learnt to differentiate certain functions like polynomial functions and trigonometric functions. In this chapter, we introduce the very important concepts of continuity, differentiability and relations between them. We will also learn differentiation of inverse trigonometric functions ...

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###### Mathematics Notes for Class 12 chapter 3. Matrices

Mathematics Notes for Class 12 chapter 3. Matrices A matrix is a rectangular arrangement of numbers (real or complex) which may be represented as matrix is enclosed by [ ] or ( ) or | | | | Compact form the above matrix is represented by [a ij] m x n or A = [a ij]. 1. Element of a Matrix The numbers a 11, a 12 … etc., in the above matrix are known as the element of the matrix, generally ...

###### CBSE NCERT Solutions for Class 12 Science Chapter 6

Class- XII-CBSE-Biology Molecular Basis of Inheritance Practice more on Molecular Basis of Inheritance Page - 1 www.embibe.com. CBSE NCERT Solutions for Class 12 Science Chapter 6 . Back of Chapter Questions . 1. Group the following as nitrogenous bases and nucleosides: Adenine, Cytidine, Thymine, Guanosine, Uracil, and Cytosine . Solution: Cytidine and Guanosine are the nucleosides. Adenine ...

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3.A. Proof of Theorem 3.12 Chapter 4: Distributions and Transformations 4.1. Discrete distributions 4.1.1 The hypergeometric distribution 4.1.2 The binomial distribution 4.1.3 The Poisson distribution 4.1.4 The negative binomial distribution 4.2. Transformations of discrete random vectors 4.3. Transformations of absolutely continuous random variables 4.4. Transformations of absolutely ...

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###### Chapter 3. Matrices

4 2+6 1+( 2) 3+15 4+12 0+( 9) 7+21 3 5= 2 4 8 1 18 8 9 28 3 5 We next deﬁne the scalar multiple kX, for a number k and a matrix X. We just multiply every entry of X by k. So if X = [x ij] 1 i m;1 j n is any m n matrix and k is any real number then kX is another m n matrix. Speciﬁcally kX = [kx ij] 1 i m;1 j n For example For example 8 2 4 2 ...

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