The greatest and the least values of |z1 + z2| if z1 = 12+9i and |z2| = 7 are respectively?
(a) 22 and 8
(b) 20 and 8
(c) 22 and 10
(d) 25 and 8
Please give me the answer in detail.
Iz1 + z2I <= Iz1I + Iz2I
Iz1I = ( 122 + 92 )0.5 = 15
the greatest value of Iz1 + z2I = Iz1I + Iz2I
therefore the greatest value is 15+7 = 22
the least value is 15-7 = 8
the answer (according to me ) is (a)
reply if answer is correct or wrong
Thank you the answer is correct.
i had lot of problem in tackling such questions.
i had lot of problem in tackling such questions.