NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

Jan 20, 2025, 14:54 IST

NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

NCERT Solutions for Class 12 Maths Chapter 1: NCERT questions and solutions are key to understanding the concepts of the syllabus. This will help students to score well in the CBSE Board Exam 2025. This article covers the solutions of Class 12 Mathematics Chapter 1 Relations and Functions. It’s the first chapter of book 1, and is highly important from an exam perspective. The link for the 12th Relations and Functions NCERT solutions is provided in the following section.

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NCERT Solutions Class 12 Maths Chapter 1 Relations and Functions

Some questions of this NCERT Class 12th Maths Textbook Chaper 1 - Relations and Functions are given here.

Q. Show that the relation R in the set R of real numbers, defined as R = {(a, b): a ≤ b²} is neither reflexive nor symmetric nor transitive.

Q. Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.

Q. Check whether the relation R in R defined as R = {(a, b): a ≤ b³} is reflexive, symmetric or transitive.

Q. Show that the relation R in the set A of points in a plane given by R = {(P, Q): distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all point related to a point P ≠ (0, 0) is the circle passing through P with origin as centre.

Q. Given an example of a relation. Which is

Symmetric but neither reflexive nor transitive.
Transitive but neither reflexive nor symmetric.
Reflexive and symmetric but not transitive.
Reflexive and transitive but not symmetric.
Symmetric and transitive but not reflexive.

Q. Show that the relation R in the set A of points in a plane given by R = {(P, Q): distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all point related to a point P ≠ (0, 0) is the circle passing through P with origin as centre.

CBSE Class 12 Maths Deleted Syllabus for 2025 Exam

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Q. Show that the relation R defined in the set A of all triangles as R = {(T1, T2): T1 is similar to T2}, is equivalence relation. Consider three right angle triangles T1 with sides 3, 4, 5, T2 with sides 5, 12, 13 and T3 with sides 6, 8, 10. Which triangles among T1, T2 and T3 are related?

Q. Show that the relation R defined in the set A of all polygons as R = {(P1, P2): P1 and P2 have same number of sides}, is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3, 4 and 5?

Q. Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2): L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

Also Read: CBSE Class 12 Maths Chapter 1 Relations and Functions Mind Map

Q. Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

Q. Show that the relation R in the set A of all the books in a library of a college, given by R = {(x, y): x and y have same number of pages} is an equivalence relation.

Key Features of NCERT Solutions for Class 12 Maths Chapter 1 – Relations and Functions

Comprehensive but also to-the-point
Simple approach to solving problems
Full questions with answers for students’ convenience
Well-presented and eye-catching
Accommodates old and new NCERT curriculum

Now that you have an idea of what the Jagran Josh NCERT solutions entail, hurry up and check out the Class 12 Mathematics Chapter 1 Relations and Functions NCERT solutions in PDF format below:

NCERT Solutions Class 12 Maths Chapter 1 Relations and Functions Download PDF

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