The positive value of a so that the coefficients of \( x^{5} \) and \( x^{15} \) are equal in th...

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The positive value of a so that the coefficients of \( x^{5} \) and \( x^{15} \) are equal in the expansion of \( \left(x^{2}+\frac{a}{x^{3}}\right)^{10} \)
(A) \( \frac{1}{2 \sqrt{3}} \)
(B) \( \frac{1}{\sqrt{3}} \)
(C) 1
(D) \( 2 \sqrt{3} \)
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