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NCERT Solutions for Class 12 Maths Exercise 1.4 Relations and Functions

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NCERT Solutions for Class 12 Maths Exercise 1.4 Relations and Functions: Class 12 Maths Exercise 1.4 deals with the concepts of binary operations. Embibe offers a wide range of study materials for CBSE Class 12. These study materials include NCERT Solutions, NCERT books, and mock tests. Also, NCERT Solutions help students clear their doubts and improve their performance.

Students can find solutions to all the problems in the chapter Relations and Functions at Embibe. Students will improve their time management skills if they follow the NCERT solutions. Apart from solutions, Embibe also provides 300+ practice questions from several books. These practice questions come with interesting videos at Embibe. Read this article to learn more.

NCERT Solutions for Class 12 Maths Exercise 1.4: Important Topics

This exercise explains the proof equations for commutative or associative and the existence of identity elements to the students. A set can be called an operation in binary operations where two domains and the codomains fall under the same set. Students need to know these concepts related to Class 12 Maths Relations and Functions Exercise 1.4 to strategise their study plan. Therefore, Embibe provides all the guidance to students before the exams.

The NCERT Solution provided by Embibe helps students recall these concepts easily. However, to revise these topics, students can watch the 3D and Explainer videos on Embibe. After watching them, students can check the NCERT Exemplars and books for. This will make exam preparation easier for students.

Below we have provided the list of topics included in this exercise:

Sr. No.Topic Name
1.Binary Operations
2.Proving Functions Binary Using Associative or Commutative Properties
3. Existence of Identity Elements

NCERT Solutions for Class 12 Maths Exercise 1.4: Points to Remember

Some of the important points from this exercise are as follows:

  • The empty relation has a certain relation R in X as R = φ ⊂ X × X.
  • Also, the universal relation is the kind relation R in X that can be shown by R = X × X.
  • Symmetric relation R in X satisfies (a, b) ∈ R implies (b, a) ∈ R.
  • Reflexive relation R in X can be shown as: (a, a) ∈ R; for all ∀ an ∈ X.
  • The transitive relation R in X can be shown as (a, b) ∈ R and (b, c) ∈ R, meaning (a, c) ∈ R.
  • Binary operation ∗ done on a set A is a function ∗ from A × A to A.
  • The operation ∗ on X is commutative if a ∗ b = b ∗ a; ∀ a, b in X.
  • Operation ∗ on X is associative if (a ∗ b) ∗ c = a ∗ (b ∗ c); ∀ a, b, c in X.

NCERT Solutions for Class 12 Maths: All Chapters

Students can download the NCERT Solutions for Class 12 Maths from the following:

FAQs

Q.1: Where can I get NCERT Class 12 Maths Exercise 1.4 Solutions?

Ans: Students can get NCERT Class 12 Maths Exercise 1.4 Solutions at Embibe for.

Q.2: What is the name of Class 12 Maths Exercise 1.4?

Ans: Class 12 Maths Exercise 1.4 is based on binary operations.

Q.3: What is the benefit of NCERT Class 12 Maths Exercise 1.4 Solutions?

Ans: Students will improve their time management skills if they follow NCERT Solutions. Following NCERT Solutions for binary operations will help students understand the marking scheme.

Q.4: Can I find learning videos for Class 12 Maths Exercise 1.4 at Embibe?

Ans: Yes, students can find several videos on Binary Operations at Embibe for. Therefore, students must sign up to watch the videos.

Q.5: Will the NCERT Solutions for Exercise 1.4 be enough for exams?

Ans: Yes, these NCERT Solutions for Exercise 1.4 are enough to ace the final exams.

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