Ex 1.1, 7 - Chapter 1 Class 12 Relation and Functions (Term 1)
Last updated at May 29, 2018 by Teachoo
Ex 1.1
Ex 1.1, 1 (i)
Ex 1.1, 1 (ii)
Ex 1.1, 1 (iii) Important
Ex 1.1, 1 (iv)
Ex 1.1, 1 (v)
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Ex 1.1, 5 Important
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Ex 1.1, 7 You are here
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Ex 1.1, 9 (i)
Ex 1.1, 9 (ii)
Ex 1.1, 10 (i)
Ex 1.1, 10 (ii)
Ex 1.1, 10 (iii) Important
Ex 1.1, 10 (iv)
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Ex 1.1, 12 Important
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Ex 1.1, 15 (MCQ) Important
Ex 1.1, 16 (MCQ)
Chapter 1 Class 12 Relation and Functions (Term 1)
Serial order wise
Transcript
Ex 1.1, 7 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. R = {( x, y): x and y have same number of pages} Check reflexive If reflexive , then (x, x) R Book x and Book x have the same number of pages. Which is always true. Hence, R is reflexive Check symmetric If x and y have the same number of pages, then we can say that y and x have the same number of pages. Hence If (x, y) R, then (y, x) R R is symmetric. Check transitive If x and y have the same number of pages. & y and z have the same number of pages. then, x and z have the same number of pages. Hence , If (x, y) R & (y, z) R , then (x, z) R R is transitive Since R is reflexive, symmetric and transitive Hence, R is an equivalence relation.
