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Showing posts with label class12-Mathematics. Show all posts
Showing posts with label class12-Mathematics. Show all posts

# National Mathematics Day

National Mathematics Day is observed annually on December 22nd to mark the anniversary of the eminent mathematician Srinivasa Ramanujan's birth.  # Maths Tip: What are cyclic numbers?  # Class 12 - Mathematics - Differential Equations - Part - 1

An equation involving an independent variable (variables), dependent variable and derivative or derivatives of the dependent variable with respect to the independent variable (variables) is called a differential equation.

It is an equation involving unknown functions and their derivatives w.r.t. one or more independent variables.  # THEOREMS ON DIFFERENTIATION

CBSE Class 11 - Mathematics - Limits and Derivatives Part-9

You have learnt about finding derivatives using the first principle in part-7 and part-8. Let us proceed further. Here is a summary of theorems on differentiation.  # Class 11 & 12 Maths - Probability - Part 1 (Solved Questions)

Let us revisit the basic terminology used in probability.

Q1: Define probability. What can the probability never predict?

Answer: Probability gives us a measure of the likelihood that something will happen. However, probability can never predict the number of times that an occurrence actually happens.

Q2: Define experiment.

Answer: An action or operation resulting in two or more well-defined outcomes.

e.g. tossing a coin, throwing a die, drawing a card from a pack of well-shuffled playing cards etc.  # National Mathematics Day

India celebrates National Mathematics Day on December 22 every year. The day marks the birth anniversary of famous mathematician Srinivasa Ramanujan.

*Typo in the graphic new = knew  # Class 12 Maths - Types Of Matrices

(1) Row matrix
If in a matrix, there is only one row, then it is called a Row Matrix.
Thus $A[a_{ij}]_{m \times n}$ is a row matrix if m = 1
e.g. [1 3 6] is a row matrix of order 1 × 3

(2) Column Matrix
A matrix which contains only one column, is called a column matrix. Thus $A[a_{ij}]_{m \times n}$ is a column matrix if n = 1.

e.g. $\begin{bmatrix} 5\\6 \\9 \end{bmatrix}$

(3) Square matrix
If number of rows and number of column in a matrix are equal, then it is called a square matrix. Thus $A[a_{ij}]_{m \times n}$ is a square matrix if m = n.

e.g. $\begin{bmatrix} 5 &6 \\7 & 8 \end{bmatrix}$  # CBSE Class 12 - Maths - Introduction to Matrices (Questions and Answers)Part-1

Q1: Name the mathematician, was the first person to introduce the concept of a matrix? Define matrix.

A matrix is an ordered rectangular array of numbers or functions. The numbers or functions are called the elements or the entries of the matrix.

Q2: Give examples of domains where matrices based applications are widely used.

Answer: Matrices is one of the most important and powerful tools in mathematics which has found its way into various disciplines like Engineering, Economics, Statistics, Physics, Chemistry, Commerce etc.  # CBSE Class 12 - Mathematics Sample Question Paper  Set 2 (2020-21)

Senior Secondary stage is a launching stage from where the students go either for higher academic education in Mathematics or for professional courses like Engineering, Physical and Biological science, Commerce or Computer Applications. With this objective, various topics are Maths are covered in Class 12.

For the academic year 2020-21, the pattern of the Maths question paper has changed.
1. This question paper contains two parts A and B. Each part is compulsory. Part A carries 24 marks and Part B carries 56 marks.

2. Part-A has Objective Type Questions and Part -B has Descriptive Type Questions

3. Both Part A and Part B have choices.  # CBSE Class 12 - Mathematics Sample Question Paper + Marking Scheme - (2020-21)

Senior Secondary stage is a launching stage from where the students go either for higher academic education in Mathematics or for professional courses like Engineering, Physical and Biological science, Commerce or Computer Applications. With this objective, various topics are Maths are covered in Class 12.

For the academic year 2020-21, the pattern of the Maths question paper has changed.
1. This question paper contains two parts A and B. Each part is compulsory. Part A carries 24 marks and Part B carries 56 marks.

2. Part-A has Objective Type Questions and Part -B has Descriptive Type Questions

3. Both Part A and Part B have choices.  # CBSE Class 12 Sample Question Papers (2020-21) With Marking Schemes PDF Files

CBSE has issued new CBSE Sample Papers 2020-21 on Oct 9, 2020 and has also issued a notification regarding this. CBSE Sample Papers 2020-21 for tenth and twelfth are presently the most significant assets for the up and coming CBSE Board Exams 2021 readiness.With the new CBSE Making Scheme 2020-21, students will get a total thought regarding the method of composing good responses in the answer sheet. It also helps undoubtedly comprehending the significant points that must be written in answer books to score maximum marks.

You can download the Question Papers and Marking Scheme PDF files from here:  ## CBSE Class 12 - Mathematics Sample Question Paper + Solution- (2018-19)

Mathematicians is created by acts of insight and intuition. Logic then sanctions the conquests of intuition. It is the hygiene that mathematics practices to keep its ideas healthy and strong. The branch of human inquiry involving the study of numbers, quantities, data, shape and space and their relationships, especially their generalizations and abstractions and their application to situations in the real world.

Here follows the class 12  Mathematics sample question paper along with the marking scheme and answers for your assessment.  ## CBSE Class 12 / Class 10 Date Sheet (2018-2019)

CBSE has declared and released the date sheet for Class 12 and Class 10 examination. The Class 12 board exams will begin on February 15 and end on April 3, while the CBSE Class 10 board exams will begin on February 21 and go on till March 29.

Class 10 Main Subjects Examination Date Sheet.

SNo. Date Subject
1. 07 March 2019 Maths
2. 13 March 2019 Science
3. 16 March 2019 Sanskrit
4. 19 March 2019 Hindi
5. 23 March 2019 English
6. 23 March 2019 FIT
7. Social Science 29 March 2019

Here is the link for class 12 datesheet from CBSE site

Here is the link for class 10 date sheet from CBSE site.  ## Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

Must Read Book For Mathematics Students and Teachers Euclid's Window - Buy Ebook or Hard Copy

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space in the living room or in some other galaxy have been the hidden engine of the highest achievements in science and technology.

Mlodinow reveals how geometry's first revolution began with a "little" scheme hatched by Pythagoras: the invention of a system of abstract rules that could model the universe. That modest idea was the basis of scientific civilization. But further advance was halted when the Western mind nodded off into the Dark Ages. Finally in the fourteenth century an obscure bishop in France invented the graph and heralded the next revolution: the marriage of geometry and number. Then, while intrepid mariners were sailing back and forth across the Atlantic to the New World, a fifteen-year-old genius realized that, like the earth's surface, space could be curved. Could parallel lines really meet? Could the angles of a triangle really add up to more or less than 180 degrees? The curved-space revolution reinvented both mathematics and physics; it also set the stage for a patent office clerk named Einstein to add time to the dimensions of space. His great geometric revolution ushered in the modern era of physics.  ## Thursday, 30 August 2018

### CBSE Class 12 - Mathematics - Linear Programming (Key Points) (#cbsenotes)(#eduvictors)

Linear Programming

(Key Points)

Linear Programming Problems – Problems which concern with finding the minimum or maximum value of a linear function Z (called objective function) of several variables (say x and y), subject to certain conditions that the variables are non-negative and satisfy a set of linear inequalities (called linear constraints) are known as linear programming problems.

Objective function – A linear function z = ax + by, where a and b are constants, which has to be maximised or minimised according to a set of given conditions, is called a linear objective function.

Decision Variables – In the objective function z = ax + by, the variables x, y are said to be decision variables.

Constraints – The restrictions in the form of inequalities on the variables of a linear programming problem are called constraints. The condition x ≥ 0, y ≥ 0 are known as non – negative restrictions.  ## Divisibility Rules of Various Numbers

(2-25)

Divisibility by 2:
A number is divisible by 2 if its unit’s digit is even or 0.

Divisibility by 3:
A number is divisible by 3 if the sum of its digits are divisible by 3.

Divisibility by 4:
A number is divisible by 4 if the last 2 digits are divisible by 4, or if the last two digits are 0’s.

Divisibility by 5:
A number is divisible by 5 if its unit’s digit is 5 or 0.

Divisibility by 6:
A number is divisible by 6 if it is simultaneously divisible by 2 and 3.  ## Mathematics -Syllabus (2017-18)

### CBSE Class 12 Mathematics

Here presents the prescribed syllabus for Class 12 Mathematics for the curriculum 2017-18.  ## CBSE Class 12 - Maths Sample Question Paper with Marking Scheme (2016-17)  ## Friday, 28 October 2016

### CBSE Class 9, 10, 11, 12 - Mathematics - Know about Special Constants

Change is the only constant in our lives. However, there are constants or constant numbers that are frequently used in the domains of Science, Mathematics, Economics etc.

Do you know what is golden ratio?

What is the value of Pi?

What are transcendental numbers?

What's the value of cube root of 2?  ## Mathematics - Important  Formulas

eduvictors.com has added a new section "Mathematics" and has compiled important formulas on different topics.

Here is the list of Mathematics formulas:

1. Algebra Formulas

⓵ Polynomials
⓶ Fractions
⓷ Algebraic Identities
⓸ Exponents
⓹ Roots  