Let the number (22)²⁰²²+(2022)²² leave the remainder α when divided by 3 and β when divided by 7. Then (α²+β²) is equal to:

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 10 Apr, Evening shift · Q2900

JEE Main 202310 Apr, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Let the number

(22)^{2022}+(2022)^{22}

leave the remainder

\alpha

when divided by 3 and

\beta

when divided by 7. Then

\left(\alpha^{2}+\beta^{2}\right)

is equal to :