For all complex numbers z1,z2 satisfying |z1|= 12 and |z2−3−4i|=5 the minimum value of |z1−z2| is
A
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
7
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
17
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A 2 The point z1 and z2 describe circles of radii 12, 5 with centres O and (3, 4). The nearest distance between the circles is 12 - 10 = 2.