Question

║⊕QUESTION⊕║
A lot of people stop understanding maths when alphabets are involved
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CLASS 12
RELATIONS AND FUNCTIONS
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Let a relation R in the set N of natural numbers be defined as
(x,y) → x² - 4xy + 3y² = 0 ∀ x, y ∈ N.
The relation R is
a) Reflexive
b) Symmetric
c) Transitive
d) All of these

Answer 1

Solution

x² - 4xy + 3y² = 0

x² - 3xy - xy + 3y² = 0

x(x-3y) - y(x - 3y) = 0

(x-y)(x-3y) = 0

From here we get two definition of the relation

x = y or x = 3y

From x = y This relation is Reflexive

So option A

Answer 2

Answer:

options A is the answer!!:)