यदि A = {x : 0 ≤ x ≤ 2} और B = {y; y एक अभाज्य संख्या है}, है तो A∩B किसके बराबर है?

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  1. Φ
  2. {1}
  3. {2}
  4. {1, 2}

Answer (Detailed Solution Below)

Option 3 : {2}
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अवधारणा: 

 

अभाज्य संख्याएँ = वह संख्या जिसे केवल स्वयं और 1 से विभाजित किया जा सकता है

गणना:

दिया है: A = (x : 0 ≤ x ≤ 2) और B = {y; y एक अभाज्य संख्या है}

अतः, ऊपर से, A और B के बीच की उभयनिष्ठ संख्या 2 है।

⇒ A ∩ B = {2}

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