যদি x + y = 7 এবং xy = 19 হয়, তাহলে x2 + y2 এর মান নির্ণয় করুন।

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. 17
  2. 12
  3. 11
  4. 19

Answer (Detailed Solution Below)

Option 3 : 11
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Detailed Solution

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প্রদত্ত:

x + y = 7

xy = 19

অনুসৃত সূত্র:

(x + y)2 = x2 + y2 + 2xy

গণনা:

x + y = 7

উভয় পক্ষের বর্গ করে পাই,

⇒ (x + y)2 = 72

⇒ x2 + y2 + 2xy = 49

⇒ x2 + y2 = 49 - 2 × 19

⇒ x2 + y2 = 11

x2 + y2 এর মান হল 11

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