defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Binomial Theorem Special Terms of Binomial Expansion
Let m and n be the coefficients of seventh and thirteenth terms respectively in the expansion of \(\rm \left(\frac{1}{3}x^{\frac{1}{3}}+\frac{1}{2x^{\frac{2}{3}}}\right)^{18}\). Then \(\rm \left(\frac{n}{m}\right)^{\frac{1}{3}}\) is.
1
\(\frac{4}{9}\)
2
\(\frac{1}{9}\)
3
\(\frac{1}{4}\)
4
\(\frac{9}{4}\)