Color Cross 2 Cool Math Games latest 2023

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CBSE Class 12 – Maths, Physics, Biology, Chemisrty,Commerce, Computer

CBSE CLASS 12

We provide world-class e-learning content for CBSE Class 12 students that helps them learn their subjects in the easiest and lively way. We focus on student problems and provide solutions in the best possible way. We cover all courses related to CBSE 12 class

    1. Physics

    2. Math

    3. Chemistry

    4. Biology

    5. Trade

    6. Computing

We also provide sample papers, solutions, articles on important topics, and other study materials in accordance with the latest “CBSE” board curriculum for 11th and 12th grades.

We have 3D animated videos, presentations, samples and documents based on the latest CBSE board guidelines with features such as simulation.

Our team has developed the content in such a way that it becomes interesting and easy to learn for both online and offline students.

Our goal is to give exact and productive solutions, so that students can earn efficient points/grades in a cost effective time.

We offer more courses for CBSE Class 11, CBSE Class 10, CBSE Class 9 and CBSE Classes 1-8.

Online and offline solutions for cbse class 12 math

cbse class 12 math – We provide solutions for math and other subjects.

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We provide demo videos for students, so they can judge the content before purchasing.

Some Concepts in detail

(Note: To fully understand the concept, watch our respective 3D animation videos while reading this article as the illustrations are based on this.)

A function

Purpose:

In this session, we will understand the concept of a function. We plotted points on a graph paper. Points are given by their coordinates. (4, 5), (-5, 4), (-3.5, -4) etc.

We know that the first number gives us the x coordinate i.e. the distance from the origin along the x axis and the second number gives us the y coordinate i.e. the distance from the origin along the y axis. It is for this reason that if we change the order of the numbers, we get a different point. (4, 5) and (5, 4) are two different points. Such an arrangement of pair of numbers where the order must be preserved is called an ordered pair.

The cross product of two sets, AxB = (a, b) I ae A and be B To explore all possibilities, consider two sets. Set A with five robots and set B with seven bikes.

Now we match a robot with the bike matching its color.

Case I: Green robot with green bike. Blue robot with blue bike etc. In this Case we find that each robot has only one bike for itself.

Case 2: Replace the orange colored bicycle with a light green colored bicycle.

Now we find that the orange-colored robot does not have a bike of its own.

Case 3: Take the light green and purple colored bicycles and replace them with orange colored bicycles. Match the sets again.

Now we see that the orange-colored robot has two bikes of its own. Thus we observe that in the first case each robot of set A has a bicycle of its own, and that there are 2 spare bicycles. In the second case there is a robot with no matching bike and finally in the third case we have a robot that has more than one matching bike. These conditions lead us to the definition of a function.

A function is a subset of the cross product of two non-empty sets A and B such that each element of set A has a unique image in set B.

The function is represented by lowercase letters, for example, Function f:A->B. Set A is called Domain and set B Co domain. This further implies that no element of A can have more than one image in B. And also there should be no element of A that has no image in B. Mathematically this implies that no ordered pair will have the same first element.

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