If \( a, b, c \) are positive real numbers such that \( a^{\log _{3... VIDEO
If \( a, b, c \) are positive real numbers such that \( a^{\log _{3} 7}=27 ; \quad b^{\log _{7} 11}=49 \) and \( c^{\log _{1} 25}=\sqrt{11} \). The value of \( \left(a^{\left(\log _{3} 7\right)^{2}}+b^{\left(\log _{7} 11\right)^{2}}+c^{\left(\log _{1}, 25\right)^{2}}\right) \) equals
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(A) 489
(B) 469
(C) 464
(D) 400
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