JEE Advanced Model Paper 18 with solutions for online practice

|z - (2 + 3i)| = 2 is a circle and |z - (5 - i) |= 3 is another circle
The distance between their centres is equal to sum of their radii that’s why ‘Z’ will betheir point of contact
⇒ Z =

16

5

+ i

7

5

⇒ |Z| = √

61

5