3. Show that the relation R on the ...
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3. Show that the relation R on the set Nx N defined as (a,b) R (c,d) iff a+d=b+c an equivalence relation.

JEE/Engineering Exams
Maths
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(i) Fon suflexive ( (a, b) R(a, b) ) ( a+b=b+a ) ( +b_{0}:left(a_{1} bright) R(a, b) ) symetric ( (a, b) quad R(x, d) quad(c, d) quad R(a, b) ) ( a+d=b+c ) ( a+d=c+b ) for symmetic itis prove ( therefore ) ( (a, b),(c, d), quad(e, j), quad ) Then shoraw ( (a, b) R(c, d) mid quad(c, d) R(e, 1) quad(e, i} ) ( =b+c ) ( =b+alpha+e-f ) ( =b+a+d+e^{-1} ) ( =b+c ) the rwe ( a(e, f) R(a, b) )
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