Home
Class 12
MATHS
Given z=f(x)+ig(x)w h e r ef,g:(0,1)-->(...

Given `z=f(x)+ig(x)w h e r ef,g:(0,1)`-->`(0,1)` are real valued functions. Then which of the following does not hold good? `z=1/(1-i x)+i1/(1+i x)` b. `z=1/(1+i x)+i1/(1-i x)` c. `z=1/(1+i x)+i1/(1+i x)` d. `z=1/(1-i x)+i1/(1-i x)`

A

`z=1/(1-ix)+i(1/(1+ix))`

B

`z=1/(1+ix)+i(1/(1-ix))`

C

`z=1/(1+ix)+i(1/(1+ix))`

D

`z=1/(1-ix)+i(1/(1-ix))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Given that z=1-i

Find the conjugate complex number of z=(1)/(i-1)

Given that, z=(1+2i)/(1-i)=((1+2i)(1+i))/((1-i)(1+i))

z = (1+i)/(1-i) then z^4 = .......... .

Find the modulus of (1+i)/(1-i) - (1-i)/(1+i)

If the conjugate complex number of (x+yi)(1-2i) is 1+i then ......

Consider the two complex numbers z and w, such that w=(z-1)/(z+2)=a+ib, " where " a,b in R " and " i=sqrt(-1). If z=CiStheta , which of the following does hold good?

Consider the real-valued function satisfying 2f(sinx)+f(cosx)=xdot then the (a) domain of f(x)i sR (b) domain of f(x)i s[-1,1] (c) range of f(x) is [-(2pi)/3,pi/3] (d) range of f(x)i sR

If z^(4)+1=0,"where"i=sqrt(-1) then z can take the value

locus of the point z satisfying the equation |z-1|+|z-i|=2 is