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Question

\(\frac{(912+643)^{2}+(912-643)^{2}}{(912\times912+643\times643)}\)

Options:
A .  122
B .  2
C .  1
D .  None of these
Answer: Option B

\(\frac{(912+643)^{2}+(912-643)^{2}}{(912\times912+643\times643)} = \frac{(912+643)^{2}+(912-643)^{2}}{(912^{2}+643^{2})}= \frac{2(912^{2}+643^{2})}{(912^{2}+643^{2})}=2\)


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