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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Sets and Relations

NTA Abhyas 2020 · Mathematics · Sets and Relations

If relations R _ 1 and R _ 2 from set A to set B are defined as R _...

If relations R1andR2{R}_{1}and{R}_{2} from set AA to set BB are defined as R1={R}_{1} =\left\{\left(1, 2\right), \left(3, 4\right), \left(5, 6\right)\right\}andand{R}_{2} = \left\{ \left(2, 1\right), \left(4, 3\right), \left(6, 5\right)\right\},then, thenn\left(A \timesB\right) can be equal to

Options

  1. A3535
  2. B5353
  3. C3636
  4. D5555

Correct answer

C. 3636

Step-by-step solution

nn\left(A \timesB\right) = n \left(A\right)\timesn \left(B\right)<br/>Nowminimum<br/>Now minimumn \left(A\right) = 6andminimumand minimumn\left(B\right) = 6<br/><br/>⇒ n\left(A\right)\timesn\left(B\right)canbeequaltocan be equal to7 \times13 = 91
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