If the coefficients of $x^7$ in $\left(ax^2+\frac{1}{2bx}\right)^{11}$ and $x^{-7}$ in $\left(ax-\frac{1}{3bx^2}\right)^{11}$ are equal, then

JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 6 April 2023, Shift 2, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

If the coefficients of

x^7

\left(ax^2+\frac{1}{2bx}\right)^{11}

and

x^{-7}

\left(ax-\frac{1}{3bx^2}\right)^{11}

are equal, then

Official answer

Option 4

NTA final key.