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If a + b + c = 3√3 and a2 + b2 + c2 = 9 then ab + bc + ca =?

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If a + b + c = 3√3 and a2 + b2 + c2 = 9 then ab + bc + ca =?
1. 12
2. 9
3. 6
4. 8
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Correct Answer - Option 2 : 9

Given:

a + b + c = 3√3 and a2 + b2 + c2 = 9

Formula used:

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

Calculation:

Putting given values,

⇒ 27 = 9 + 2(ab + bc + ca)

⇒ (ab + bc + ca) = 9

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