If the coefficient of … in … and the coefficient of … in … are equal, then … is equal to :

Option A. The given expression is …

Binomial Theorem

JEE Main 2023 · 10 Apr, Morning shift · Q2944

MathematicsMedium64×since 2002Q2944

If the coefficient of

{x^7}

{\left( {ax - {1 \over {b{x^2}}}} \right)^{13}}

and the coefficient of

{x^{ - 5}}

{\left( {ax + {1 \over {b{x^2}}}} \right)^{13}}

are equal, then

{a^4}{b^4}

is equal to :

JEE Main 2023 · 10 Apr, Morning shift · Q2944

MathematicsMedium64×since 2002Q2944

If the coefficient of

{x^7}

{\left( {ax - {1 \over {b{x^2}}}} \right)^{13}}

and the coefficient of

{x^{ - 5}}

{\left( {ax + {1 \over {b{x^2}}}} \right)^{13}}

are equal, then

{a^4}{b^4}

is equal to :