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If z is a complex number of unit modulus...

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

A

`theta`

B

`pi-theta`

C

`-theta`

D

`(pi)/2-theta`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
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  2. If z1 and z2 are two non - zero complex numbers such that |z1+z2|=|z1-...

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  3. If z is a complex number of unit modulus and argument theta then, arg ...

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  4. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

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  5. If z and omega are two nonzero complex numbers such that |zomega|=1 an...

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  6. If omega(ne1) is a cube root of unity , and (1+omega)^7=A+Bomega . The...

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  7. The polar form of 1+sqrt(3)i is

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  8. The mod -amplitude form of sqrt(3)-i is

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  9. The mod -amplitude form of -sqrt(3)-i is

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  10. The mod -amplitude form of 1-sqrt(3)i

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  11. The mod -amplitude form of 5+12i is

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  12. The mod -amplitude form of (1+7i)/(2-i)^2 is

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  13. The mod -amplitude form of 1+itan theta is

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  14. The mod -amplitude form of 1+cos theta-isin theta is

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  15. The mod -amplitude form of sintheta-i cos theta is

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  16. If (pi)/(2) lt alpha (3pi)/(2) , the modulus argument form of (1 + cos...

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  17. If (cos 3alpha+isin3alpha)(cos 5beta+isin5beta)=cos theta+isintheta " ...

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  18. If x+iy=cis, alpha, cis alpha then value of x^(2)+y^(2)

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  19. If cis alpha.cis beta.cis gamma=cis x then the value of x is

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  20. If A,B,C are angles of a triangle such that x = cis A , y = cis B , z...

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