1.Let α>0,β>0\alpha > 0, \beta > 0α>0,β>0 be such that α3+β3=4\alpha^{3} + \beta^{3} = 4α3+β3=4. If the maximum value of the term independent of xxx in the binomial expansion of (αx1/3+βx−1/3)10\left(\alpha x^{1/3} + \beta x^{-1/3}\right)^{10}(αx1/3+βx−1/3)10 is 10k10k10k, then kkk is equal toa.336336336b.352352352c.848484d.176176176Login to continueOnly logged in users canattempt or see the solution.