For natural numbers m, n, if (1 - y)^(m) (1 + y)ⁿ = 1 + a₁y + a₂y² +.......... and a₁ = a₂ = 10, then (m, n) is

Binomial Theorem and Its Simple Applications: JEE Main 2006 Mathematics question

JEE Main 2006 · Annual, Paper 1 · Q2968

JEE Main 2006Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

For natural numbers

m

n

, if

{\left( {1 - y} \right)^m}{\left( {1 + y} \right)^n}\,\, = 1 + {a_1}y + {a_2}{y^2} + ..........

and

{a_1} = {a_2} = 10,

then

\left( {m,\,n} \right)

JEE Main 2006 · Annual, Paper 1 · Q2968

JEE Main 2006Annual, Paper 1MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

For natural numbers

m

n

, if

{\left( {1 - y} \right)^m}{\left( {1 + y} \right)^n}\,\, = 1 + {a_1}y + {a_2}{y^2} + ..........

and

{a_1} = {a_2} = 10,

then

\left( {m,\,n} \right)