QJEEM21Ma2cc1: JEE Main 2021 Mathematics - Class 11 JEEM21Ma2cc1 Solution: If for the complex numbers z satisfying

| z $$-$$ 2 $$-$$ 2i | $$\le$$ 1

| x + iy $$-$$ 2 $$-$$ 2i | $$\le$$ 1

|(x $$-$$ 2) + i(y $$-$$ 2)| $$\le$$ 1

(x $$-$$ 2)² + (y $$-$$ 2)² $$\le$$ 1

| 3iz + 6 |_max at a + ib

$$\left|3i\right|\left|z+\frac{6}{3i}\right|$$

$$3{\left|z-2i\right|}_{max}$$


From figure maximum distance at 3 + 2i

a + ib = 3 + 2i = a + b = 3 + 2 = 5 Ans.