Let z be a complex number such that ∣ z ∣ = 1 . If k + z 2 + k 2 z = kz , k ∈ R , then the maximum distance of k + ik 2 from the circle ∣ z − ( 1 + 2 i ) ∣ = 1 is:

Question

Let z be a complex number such that ∣ z ∣ = 1 . If k + z 2 + k 2 z ​ = kz , k ∈ R , then the maximum distance of k + ik 2 from the circle ∣ z − ( 1 + 2 i ) ∣ = 1 is:

TestHub · Accepted Answer

​ k + z 2 + k 2 z ​ = kz ∣ z ∣ 2 k = 2 k = 2 ​ point p ( 2 , 4 ) ; center ( 1 , 2 ) distance from circle ( x − 1 ) 2 + ( y − 2 ) 2 = 1 is max. if ( OP + r ) = 1 + 4 ​ + 1 = 5 ​ + 1

Mathematics - Complex Number Question with Solution | TestHub

Options:

Doubts & Discussion