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CGP EDU Academic Team
Published on: August 11, 2026
The relation R given by {(x, y) : x 2 - 3xy + 2y 2 = 0, 
} is
Text Solution
Verified by ExpertsThe correct answer is:
A
reflexive but not symmetric
x 2 -3xy + 2y 2 = 0
x 2 -xy- 2xy + 2y 2 = 0
x (x - 2y) - 2y (x - y) = 0
(x – 2y) (x - y) = 0
x = y or x = 2y
Now, 
in R all ordered pairs (x, x) are present
It is reflexive
Now, (4, 2) 
R as 4 = 2 (2)
but (2,4) 
R as 2 
2 (4)
It is not symmetric
Also (4,2) & (2,1) 
but (4,1) 
R
It is not transitive
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