Maths-
General
Easy
Question
Let R = {(x, y) : x, y 
A, x + y = 5} where A = {1, 2, 3, 4, 5} then
- R is not reflexive, symmetric and not transitive
- R is an equivalence relation
- R is reflexive, symmetric but not transitive
- R is not reflexive, not symmetric but transitive
The correct answer is: R is not reflexive, symmetric and not transitive
To define the given statement.
For the given R= {(x, y) : x, y A, x + y = 5}, R can take the values {(1,4),(4,1),(2,3)(3,2)}
From the values, R is not reflexive since (1,1)∈/R.
R is symmetric
R is not transitive as (1,4)∈R, (4,1)∈R but (1,1)∈/R.
R is symmetric
Hence, the given relation is not reflexive, symmetric and not transitive
Related Questions to study
Maths-
Let 
be a relation defined by 
Then R is
Hence, the given relation is Reflexive, transitive but not symmetric.
Let be a relation defined by Then R is
Maths-General
Hence, the given relation is Reflexive, transitive but not symmetric.
Maths-
The relation R defined in N as aRb 
b is divisible by a is
Hence, the given relations is reflexive but not symmetric.
The relation R defined in N as aRb b is divisible by a is
Maths-General
Hence, the given relations is reflexive but not symmetric.
physics-
Electric power =
Electric power =
physics-General
physics-
n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is
n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is
physics-General
physics-
The equivalent resistance of the network shown in the adjoining figure between the points A and B is
The equivalent resistance of the network shown in the adjoining figure between the points A and B is
physics-General
physics-
A current of 4.8 A is flowing in a conductor. The number of electrons passing through any cross-section per second is
A current of 4.8 A is flowing in a conductor. The number of electrons passing through any cross-section per second is
physics-General
physics-
Equivalent resistance between points P and Q in the adjoining figure is
Equivalent resistance between points P and Q in the adjoining figure is
physics-General
physics-
The S.I. unit of surface charge density is _____.
The S.I. unit of surface charge density is _____.
physics-General
physics-
A car of mass 1500 kg. If the speed of car is changed from 30 km/h to 60 km/h, then the work done by car is
A car of mass 1500 kg. If the speed of car is changed from 30 km/h to 60 km/h, then the work done by car is
physics-General
physics-
A body of mass 2 kg is held 3 m above the floor of a room. The potential energy of the body relative to the floor is (g = 9.8 m/s2)
A body of mass 2 kg is held 3 m above the floor of a room. The potential energy of the body relative to the floor is (g = 9.8 m/s2)
physics-General
physics-
A force of 5 N acts on a body of weight 9.8 N. The acceleration produced in m/s2 is
A force of 5 N acts on a body of weight 9.8 N. The acceleration produced in m/s2 is
physics-General
physics-
Frictional force is directly proportional to the
Frictional force is directly proportional to the
physics-General
physics-
A machine gun has a mass of 20 kg. It fires 25 g bullets at the rate of 600 bullets per minute with a speed of 200
. The recoil velocity of gun is
A machine gun has a mass of 20 kg. It fires 25 g bullets at the rate of 600 bullets per minute with a speed of 200. The recoil velocity of gun is
physics-General
physics-
Action and reaction
Action and reaction
physics-General
physics-
The tension in string OB is
The tension in string OB is
physics-General
