If the coefficints of … and … in the expansion of … in powers of … are both zero, then … is equal to:

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Binomial Theorem

JEE Main 2014 · Session, Shift 1 · Q2973

MathematicsMedium64×since 2002Q2973

If the coefficints of

{x^3}

and

{x^4}

in the expansion of

\left( {1 + ax + b{x^2}} \right){\left( {1 - 2x} \right)^{18}}

in powers of

x

are both zero, then

\left( {a,\,b} \right)

is equal to:

JEE Main 2014 · Session, Shift 1 · Q2973

MathematicsMedium64×since 2002Q2973

If the coefficints of

{x^3}

and

{x^4}

in the expansion of

\left( {1 + ax + b{x^2}} \right){\left( {1 - 2x} \right)^{18}}

in powers of

x

are both zero, then

\left( {a,\,b} \right)

is equal to: