Let f(z)=|z|2+Re z(2(z+z̅)+3(z-z̅)/2i, the find the maxim – McqOptions

MCQOPTIONS

1.	Let f(z)=\|z\|2+Re z(2(z+z̅)+3(z-z̅)/2i, the find the maximum value of \|z\|2/f(z).
A.	1
B.	2
C.	3
D.	4
Answer» C. 3

Discussion

No Comment Found

Related MCQs

Let f(z)=z4+a1z3+a2z2+a3z+a4=0; a1, a2, a3, a4 being real and non-zero. If f has a purely imaginary root, then what is the value of the expression a3/(a1a2)+ a1a4/(a2a3) ?
For a∈R, let f(z)=z5-5z+a. Select the correct statement for α satisfying f(α)=0.
Let f(z)=|1–z|, if zk=cos(2kπ/10)+isin(2kπ/10), then find the value of f(z1)×f(z2)×…×f(z9).
Consider a function f(z) of degree two, having real coefficients. If z1 and z2 satisfying f(z1)=f(z2)=0 are such that Re z1=Re z2=0 and if z3 satisfies f(f(z3))=0, then select the correct statement.
Let f(z)=|z|2+Re z(2(z+z̅)+3(z-z̅)/2i, the find the maximum value of |z|2/f(z).
Find the range of the function defined by f(z)=Re[2iz/(1-z2)].
Let f(z)=2(z+z̅)+3i(z-z̅) and g(z)=|z|. f(z)=2 divides the region g(z)≤6 into two parts. If Q={(2+3i/4), (5/2+3i/4), (1/4-i/4), (1/8+i/4)}, then find the number of elements of Q lying inside the smaller part.
Define f(z)=z2+bz−1=0 and g(z)=z2+z+b=0. If there exists α satisfying f(α)=g(α)=0, which of the following cannot be a value of b?
Let f(z)=arg 1/(1 – z), then find the range of f(z) for |z|=1, z≠1.
Let x, y, z be integers, not all simultaneously equal. If ω is a cube root of unity with Im(ω)≠1, and if f(z)=az2+bz+c, then find the range of |f(ω)|.