The coefficient of the middle term in the binomial expansion in powers of x of (1 + α x)⁴ and (1 - α x)⁶ is the same if α equals

Binomial Theorem and Its Simple Applications: JEE Main 2004 Mathematics question

JEE Main 2004 · Annual, Paper 1 · Q2954

JEE Main 2004Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The coefficient of the middle term in the binomial expansion in powers of

x

{\left( {1 + \alpha x} \right)^4}

and

{\left( {1 - \alpha x} \right)^6}

is the same if

\alpha

equals

JEE Main 2004 · Annual, Paper 1 · Q2954

JEE Main 2004Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The coefficient of the middle term in the binomial expansion in powers of

x

{\left( {1 + \alpha x} \right)^4}

and

{\left( {1 - \alpha x} \right)^6}

is the same if

\alpha

equals