Question : If $a + b + c = 0$ and $ab + bc + ca = -11$, then what is the value of $a^2+b^2+c^2$?
Option 1: –11
Option 2: 22
Option 3: 0
Option 4: 11
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Correct Answer: 22
Solution : Given: $a + b + c = 0$ and $ab + bc + ca = -11$ We know, $(a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)$ $⇒0^2 = a^2 + b^2 + c^2 + 2(-11)$ $\therefore a^2 + b^2 + c^2 = 22$ Hence, the correct answer is 22.
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