The relation R defined on the set N of natural numbers by xRy⇔$$2x2$$−$$3xy+y2=0$$ is

Correct option is 3not symmetric but reflexive

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$The relation R defined on the set N of natural numbers by x R y \Leftrightarrow 2 x^{2} - 3 x y + y^{2} = 0 is$

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detailed solution

Correct option is C

(i) xRx⇔2x2−3x⋅x+x2=0;∀x∈N So, R is reflexive (ii) For x=1,y=2;2x2−3xy+y2=0∴1R2 but 2×12−3×2×1+22=3≠0So, 2 is not R- related to 1. So, R is not symmetric.

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The relation R defined on the set N of natural numbers by xRy⇔2x2−3xy+y2=0 is

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$The relation R defined on the set N of natural numbers by x R y \Leftrightarrow 2 x^{2} - 3 x y + y^{2} = 0 is$