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Relations and Functions Class 12 Notes Maths Chapter 1 - Learn CBSE

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CBSE Class 12 Maths Notes Chapter 1 Relations and Functions Pay for Important Notes: https://imjo.in/tXwbeJ Relation: A relation R from set X to a set Y is defined as a subset of the cartesian product X × Y. We can also write it as R ⊆ {(x, y) ∈ X × Y : xRy}. Note: If n(A) = p and n(B) = q from set A to set B, then n(A × B) = pq and number of relations = 2 pq . Types of Relation Empty Relation: A relation R in a set X, is called an empty relation, if no element of X is related to any element of X, i.e. R = Φ ⊂ X × X Universal Relation: A relation R in a set X, is called universal relation, if each element of X is related to every element of X, i.e. R = X × X Reflexive Relation: A relation R defined on a set A is said to be reflexive, if (x, x) ∈ R, ∀ x ∈ A or xRx, ∀ x ∈ R Symmetric Relation: A relation R defined on a set A is said to be symmetric, if (x, y) ∈ R ⇒ (y, x) ∈ R, ∀ x, y ∈ A or xRy ⇒ yRx, ∀ x, y ∈ R. Transitive Relation: A relation R defined on a ...
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CBSE Class 10 Science Solved Question Paper 2019

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Pay Rs.25/month for these Notes: https://imjo.in/tXwbeJ Get here the thorough and exclusive solution of CBSE Class 10 Science Question Paper 2019. Students may download the complete solution in PDF and get the correct answers of all questions given in CBSE Science question paper. CBSE Class 10 Science paper was conducted on 13th March, 2019. Here, we are providing the detailed and appropriate answers to all the questions asked in the Class 10 Science Question Paper 2019. All the solutions have been explained as per the CBSE marking scheme that is followed while evaluating the answer sheets in CBSE Exams. Students will find it easy to understand the concepts used in the solutions. Check the CBSE Class 10 Science Paper Solution 2019 below:   SECTION - A 1.  If you could use any source of energy for heating your food which one would you prefer? State one reason for your choice. Answer. Natural gas can be used for heating food because it is a clean source ...
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CBSE Class 10 English (Communicative) Question Paper 2019

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Pay Rs.25/month for these Notes: https://imjo.in/tXwbeJ Download the CBSE Class 10 English question paper of Board Exam 2019. Also check the paper analysis and watch video to know students’ reaction on the difficulty level of their English paper. For all these contact me via Whatsapp. The Central Board of Secondary Education (CBSE) conducted the Class 10 English Examination on 23 March, 2019. Download the CBSE Class 10 English (Communicative) Question Paper 2019 in PDF format from the link given in this article. English being one of the major subjects in Class 10, this was an important exam for students under the ongoing CBSE Board Exam 2019. Most of the students who wrote their English paper felt that all the questions in the paper were easy to understand and were straightforward. The CBSE Class 10 English Communicative question paper consisted of total 11 questions divided into three Sections: Section A – Reading (20 Marks ) Section B –  Writing and Grammar ...
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11th Class Biology Sample Paper Biology Sample Paper-5

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Plants are autotrophic and synthesize their own food by the process of photosynthesis using simpler inorganic raw materials (CO, and water) in presence of light. The overall reaction is given below.    6 C O 2 + 12 H 2 O − → − − − − − C h l o r o p h y l l L i g h t C 6 H 12 O 6 + 6 H 2 O + 6 O 2 This reaction takes place in which of the labelled parts of the chloroplast? A)  a B)                     b C)  c                                  D)  a, b and c Correct Answer:  B Pay Rs.25/month for full 11th Notes: https://imjo.in/tXwbeJ
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9th Science Study Packages

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1. Study Packages of Work, Energy, Power & Collision 2. Notes of Work, Energy, Power & Collision Pay Rs.25/month for these Notes: https://imjo.in/tXwbeJ Note: If you want to get Study Packages of Work, Energy, Power & Collision and Notes of Work, Energy, Power & Collision regualarly then pay via the link or link provided in Whatsapp. For that small fee or full package you will get very important note.
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9th Class Science Matter in Our Surroundings Physical States Matter

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Pay for Regular Notes: https://imjo.in/tXwbeJ        Introduction Everything in this universe is made up of matter. All the things we see in our surroundings occupies space, and has certain mass and volume. Early Indian philosopher used to says that, matters are classified in the form of five basic elements, called panch tatva. These panch tatva includes air, water, earth, sky and fire. According to them everything whether living or non living is made up of only these five things. But modern classification is based on the physical and chemical properties of the matter. Chemistry deals with the study of matters. It involves many aspects of matters which are based on its classification and on the chemical composition into three main categories namely elements, compounds and metalloids.           Physical States of Matter For long time it is believed that the matters exist in two forms. First it exists in the form of a block li...
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