If a ,   b are the least and the greatest values respectively of z 1 + z 2 , where z 1 = 12 + 5 i and z…

If a, b are the least and the greatest values respectively of z1+z2, where z1=12+5i and z2=9, then a2+b2=
  1. 468
  2. 500
  3. 250
  4. 450

Solution

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

Asked in: AP EAMCET 2019 (21 Apr Shift 2)

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