If the coefficient of x^ 15 in the expansion of (ax^3+ 1 bx^ 1/3 )^ 15 is equal to the coefficient of x^ -15...

Question

If the coefficient of x^ 15 in the expansion of (ax^3+ 1 bx^ 1/3 )^ 15 is equal to the coefficient of x^ -15 in the expansion of (ax^ 1/3 + 1 bx^3 )^ 15 , where a and b are positive real numbers, then for each such ordered pair (a, b),

Accepted Answer

(A)

JEE Main 2023 Mathematics question

Solution