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If |z|=1 and w=(z-1)/(z+1) (where z!=-1)...

If `|z|=1` and `w=(z-1)/(z+1)` (where `z!=-1),` then `R e(w)` is 0 (b) `1/(|z+1|^2)` `|1/(z+1)|,1/(|z+1|^2)` (d) `(sqrt(2))/(|z|1""|^2)`

A

0

B

`(1)/(|z+1|^(2))`

C

`(1)/(|z+1|).(1)/(|z+1|^(2))`

D

`(sqrt(2))/(|z +1|^(2))`

Text Solution

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The correct Answer is:
A
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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
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  2. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

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  3. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

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  6. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

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  7. Let S=S1 nn S2 nn S3, where s1={z in C :|z|<4}, S2={z in C :ln[(z-...

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  8. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

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  9. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

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  10. Let A,B and C be three sets of complex numbers as defined below: {:(,A...

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  11. about to only mathematics

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  12. If z is complex number of unit modulus and argument theta then arg ...

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  13. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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  14. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

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  15. A man walks a distance of 3 units from the origin towards the North-...

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  16. The shaded region ,where P=(-1 ,0)Q=(-1 + sqrt(2),sqrt(2)) R=(-1+sq...

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  17. Let 0ltalphalt(pi)/(2) be a fixed angle. If P=(costheta,sintheta)andQ=...

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  18. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3) =(1- i sq...

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  20. Let z=costheta+isin theta, where i=sqrt(-1). Then the value of sum(m=1...

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