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What will be the value of $a 2 + b 2 + c 2$ , if $a + b + c = 8$ , if and $a b + b c + c a = 23$ and?

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answer is A.

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Detailed Solution

Given,
a+b+c=8
ab+bc+ca=23
We have to find the value of

a 2 + b 2 + c 2

.
We know that,

a + b + c 2 = a 2 + b 2 + c 2 + 2 a b + b c + c a

Squaring both sides of

a + b + c = 8

So, the value of

a 2 + b 2 + c 2 = 18

.
Therefore, option 1 is correct.

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