If the set R=\(a, b): a+5 b=42, a, b N has m elements and Σ n=1 ^(m)(1-i^(n !))=x+i y, where i=√(-1), then the value of m+x+y is

Complex Numbers and Quadratic Equations: JEE Main 2024 Mathematics question

JEE Main 2024 · 8 Apr, Morning shift · Q3277

JEE Main 20248 Apr, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

If the set

R=\{(a, b): a+5 b=42, a, b \in \mathbb{N}\}

has

m

elements and

\sum_\limits{n=1}^m\left(1-i^{n !}\right)=x+i y

, where

i=\sqrt{-1}

, then the value of

m+x+y

JEE Main 2024 · 8 Apr, Morning shift · Q3277

JEE Main 20248 Apr, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

If the set

R=\{(a, b): a+5 b=42, a, b \in \mathbb{N}\}

has

m

elements and

\sum_\limits{n=1}^m\left(1-i^{n !}\right)=x+i y

, where

i=\sqrt{-1}

, then the value of

m+x+y