If |z- 4 z |=z then the maximum value of |z| is equal to
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If \(\left|z-\frac{4}{z}\right|=z\) then the maximum value of |z| is equal to
- \(\sqrt{3}+1\)
- \(\sqrt{5}+1\)
- 2
- \(2+\sqrt{2}\)
Answer
(B) 5 +1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If a,b,c are distinct real numbers then the equation (b-c) x^ 2 +(c-a) x+(a-b)=0 has
- If α, β are roots of Ax 2 + Bx + C = 0 and α 2 , β 2 are roots of x 2 + px + q = 0, then p is equal to
- The roots of the quadratic equation x^ 2 -2 3 x-22=0 are
- The modulus and amplitude of (1+i 3 )(2+2 i) ( 3 -i) are respectively
- If x+i y = (a+i b) , then -x-i y is equal to
- The complex numbers z 1 , z 2 and z 3 satisfying z_ 1 -z_ 3 z_ 2 -z_ 3 = 1-i 3 2 are the vertices of a…
- If w= z z- 1 3 i and |w|=1 , then z lies on
- If z is a complex number, then z^ 2 + z ^ 2 =z represents
More Complex Numbers and Quadratic Equations questions · Browse all practice questions