Get, detailed solutions to the questions of the NCERT Class 12th chapter Relations and Functions: The objective is to helping students regarding the pattern of answering the question as per the cbse latest marking scheme.**Cbse.jagranjosh.com** provided you NCERT solutions for classes 12th math and science subjects.

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

**Q. **Show that the relation R in the set R of real numbers, defined as R = {(*a*, *b*): *a* ≤ *b*^{2}} 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* ≤ *b*^{3}} 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.**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.**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.

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