Tick (✓) the correct answer:

(b) 116

$(a+b)=12$

$\Rightarrow$ Squaring both the sides:

$\Rightarrow(a+b)^{2}=(12)^{2}$

$\Rightarrow\left(a^{2}+b^{2}+2 a b\right)=144$

$\Rightarrow\left(a^{2}+b^{2}\right)=144-2 a b$

$\Rightarrow\left(a^{2}+b^{2}\right)=144-2(14)$

$\Rightarrow\left(a^{2}+b^{2}\right)=144-28$

$\Rightarrow\left(a^{2}+b^{2}\right)=116$