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If z is complex number of unit modulus...

If z is complex number of unit modulus and argument `theta` then arg `((1+z)/(1+barz))` equals

A

`-theta `

B

`(pi)/(2) - theta `

C

`theta `

D

`pi - theta `

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
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  2. about to only mathematics

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

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

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

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

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

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  10. about to only mathematics

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

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  12. If omega is a cube root of unity but not equal to 1, then minimum valu...

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  14. about to only mathematics

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  15. Let z=(-1+sqrt(3)i)/(2), where i=sqrt(-1), and r, s in {1, 2, 3}. Let ...

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  16. Let a,b in R and a^(2)+b^(2) ne 0. Suppose S={z in C:z=(1)/(a+ibt),t...

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  17. Let omega be a complex cube root of unity with omega!=1a n dP=[p(i j)]...

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  18. The quadratic equation p(x)=0 with real coefficients has purely imagin...

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  19. For any integer k , let alphak=cos(kpi)/7+isin(kpi)/7,w h e r e i=sqrt...

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  20. Let a,b,x and y be real numbers such that a-b =1 and y ne 0. If the ...

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