If \( \mathrm{m}0, \mathrm{n}5,0\mathrm{m}+\mathrm{n}10 \) and \( \...

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If \( \mathrm{m}0, \mathrm{n}5,0\mathrm{m}+\mathrm{n}10 \) and \( \frac{\mathrm{x}^{2}+5}{2}=\mathrm{x}-2 \cos (\mathrm{m}+\mathrm{nx}) \) has atleast one real root, then
(A) the greatest value of \( (\mathrm{m}+\mathrm{n}) \) is \( 3 \pi \).
(B) the greatest value of \( (\mathrm{m}+\mathrm{n}) \) is \( 2 \pi \).
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(C) the least value of \( (m+n) \) is \( \pi \).
(D) the least value of \( (m+n) \) is \( 2 \pi \).
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