If the coefficient of x⁷ in (a x² + 1/2bx)¹¹ and x⁻⁷ in (ax - 1 3b x²)¹¹ are equal, then:

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Evening shift · Q2947

JEE Main 20236 Apr, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the coefficient of

{x^7}

{\left( {a{x^2} + {1 \over {2bx}}} \right)^{11}}

and

{x^{ - 7}}

{\left( {ax - {1 \over {3b{x^2}}}} \right)^{11}}

are equal, then :

JEE Main 2023 · 6 Apr, Evening shift · Q2947

JEE Main 20236 Apr, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the coefficient of

{x^7}

{\left( {a{x^2} + {1 \over {2bx}}} \right)^{11}}

and

{x^{ - 7}}

{\left( {ax - {1 \over {3b{x^2}}}} \right)^{11}}

are equal, then :