Let R = (x, y) : x, y N and x^2 - 4xy + 3y^2 = 0 , where N is the set of all natural numbers. Then the relation R is :

JEE Main 2013 Mathematics question

Let and , where N is the set of all natural numbers. Then the relation R is :

Answer: (1)

, so x R y iff x = y or x = 3y. Reflexive: x = x ✓. Not symmetric: (3, 1) ∈ R but (1, 3) ∉ R. Not transitive: (9,

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-104150