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Answered by
44
Answer:
Option(2)
Step-by-step explanation:
Given: a² + b² + c² = 50 and a + b + c = 2.
We know that (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
⇒ (2)² = 50 + 2(ab + bc + ca)
⇒ 4 = 50 + 2(ab + bc + ca)
⇒ 4 - 50 = 2(ab + bc + ca)
⇒ -46 = 2(ab + bc + ca)
⇒ -23 = ab + bc + ca.
Therefore, ab + bc + ca = -23.
Hope it helps!
stylishtamilachee:
Fantastic bro ❤❤❤❤❤
Answered by
35
Dear ,
Your Answer is ; -23
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• Step by Step Explanation ;-
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Given ;-
• a^2 + b^2 + c^2 = 50
• a + b + c = 2.
We are well aquinted that ;-
• ( a +b + c )^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca respectively.
So ,
=> {2}^2 = 50 + 2 ( ab + bc + ca )
=> 4 = 50 + 2 ( ab + bc + ca )
=> 4 - 50 = 2 ( ab + bc + ca )
=> -46 = 2 ( ab + bc + ca )
=> -23 = ( ab + bc + ca )
Hence ,
=> ab + bc + ca = -23.
✧═════ @ItsDmohit ══════✧
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