यदि a + b + c = 0 है और ab + bc + ca = -11 है, तब

a2 + b2 + c2 का मान कितना है?

This question was previously asked in
SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 17 March, 2023 Shift 1)
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  1. -11
  2. 22
  3. 0
  4. 11

Answer (Detailed Solution Below)

Option 2 : 22
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SSC CHSL General Intelligence Sectional Test 1
25 Qs. 50 Marks 18 Mins

Detailed Solution

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दिया गया है:

a + b + c = 0 और ab + bc + ca = -11

प्रयुक्त सूत्र:

(a + b + c)2 = a2 + b2 + c2 + 2 (ab + bc + ca)

गणना:

प्रयुक्त सूत्र के अनुसार,

⇒ (0)2 = a2 + b2 + c2 + 2 × (-11)

⇒ 0 = a2 + b2 + c2 - 22

⇒ a2 + b2 + c2 = 22

 विकल्प 2 सही उत्तर है। 

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