plzz soveplzz solve this i will mark it brainlest
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I think answer is only symmetric
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hi
The relation R on the set of natural number N is defined by as
xRy⇔2x2−3xy+y2=0.∀x,y∈N
(i) Reflexive: Let xϵN
∴2x2−3x⋅x+x2=2x2−3x2+x2=0
∴xRx.
∴R is Reflexive.
(ii) Symmetric : Let x,yϵN, such that (x,y)∈R
⇒2x2−3xy+y2=0
But, this does not implies 2y2−3xy+x2=0
⇒(y,x)∈/R
(x,y)ϵR but (y,x)∈/R
∴R is not symmetric
so ans is Reflexive .
hope this helps..
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