If for the complex numbers z satisfying | z - 2 - 2i | ≤ 1, the maximum value of | 3iz + 6 | is attained at a + ib, then a + b is equal to _ _ _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 1 Sep, Evening shift · Q28

JEE Main 20211 Sep, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If for the complex numbers z satisfying | z

-

-

2i |

\le

1, the maximum value of | 3iz + 6 | is attained at a + ib, then a + b is equal to ______________.

Your answerType your answer. Integers and decimals are accepted.