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Question: Answered & Verified by Expert
If a, b are the least and the greatest values respectively of z1+z2, where z1=12+5i and z2=9, then a2+b2=
MathematicsComplex NumberAP EAMCETAP EAMCET 2019 (21 Apr Shift 2)
Options:
  • A 468
  • B 500
  • C 250
  • D 450
Solution:
1179 Upvotes Verified Answer
The correct answer is: 500

It is given that z1=12+5i

The modulus is

Z1=122+52

⇒Z1=144+25

⇒Z1=13

The greatest value of z1+z2

a=13+9

⇒a=22
The lowest value of z1+z2

b=13-9

⇒b=4

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