If the term independent of x in the expansion of (√(a) x²+1/(2 x³))¹⁰ is 105, then a² is equal to:

Binomial Theorem and Its Simple Applications: JEE Main 2024 Mathematics question

JEE Main 2024 · 8 Apr, Evening shift · Q2948

JEE Main 20248 Apr, Evening shiftMathematicsEasyBinomial Theorem and Its Simple Applications131× since 2002

If the term independent of

x

in the expansion of

\left(\sqrt{\mathrm{a}} x^2+\frac{1}{2 x^3}\right)^{10}

is 105 , then

\mathrm{a}^2

is equal to :