Maths-
General
Easy
Question
If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b)
R iff a < b, then
is ![text-end text](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA0AAAAHCAYAAADTcMcaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAGKUc3qwAAABJJREFUeNpjYECA/0TgUUAxAAAFGAj4Gd15qgAAAE90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRleHQ+LTwvbXRleHQ+PC9tYXRoPs3uNooAAAAASUVORK5CYII=)
- {(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
- {(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}
- {(3, 3), (3, 5), (5, 3), (5, 5)}
- {(3, 3), (3, 4), (4, 5)}
The correct answer is: {(3, 3), (3, 5), (5, 3), (5, 5)}
To find values of ![R O R to the power of negative 1 end exponent text end text](data:image/png;base64,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)
A = {1, 2, 3, 4}
B = {1, 3, 5}
R = {(1, 3), (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)}
= {(3, 1), (5, 1), (3, 2), (5, 2), (5, 3), (5, 4)}
= {(3, 3), (3, 5), (5, 3), (5, 5)}
Values of are {(3, 3), (3, 5), (5, 3), (5, 5)}
Related Questions to study
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Let R = {(x, y) : x, y
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The equivalent resistance of the network shown in the adjoining figure between the points A and B is
![](data:image/png;base64,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)
The equivalent resistance of the network shown in the adjoining figure between the points A and B is
![](data:image/png;base64,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)
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
![](data:image/png;base64,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)
Equivalent resistance between points P and Q in the adjoining figure is
![](data:image/png;base64,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)
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