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|z(1)+z(2)|=|z(1)|+|z(2)| is possible, i...

`|z_(1)+z_(2)|=|z_(1)|+|z_(2)|` is possible, if

A

`z_(2) = bar(z)_(1)`

B

`z_(2) = (1)/( z_(1))`

C

arg` (z_(1)) = arg (z_(2))`

D

`|z_(1) | = |z_(2)|`

Text Solution

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The correct Answer is:
C
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PUNEET DOGRA-COMPLEX NUMBER-PREVIOUS YEAR QUESTIONS
  1. |z(1)+z(2)|=|z(1)|+|z(2)| is possible, if

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  2. What is the value of [(i+sqrt(3))/(2)]^(2019)+[(i-sqrt(3))/(2)]^(2019)...

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  3. If alpha and beta are the roots f x^(2) + x+1 =0, then what is the val...

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  4. If x=1+i, then what is the value of x^(6) + x^(4) + x^(2) + 1?

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  5. Roots of the equation x^(2017) + x^(2018) +1=0 are

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  6. What is the modulus of | (1+2i)/(1-(1-i)^(2))| ?

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  7. What is the modulus of | (1+2i)/(1-(1-i)^(2))| ?

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  8. What is the value of : ((-1+isqrt(3))/(2))^(3n) + (( -1-isqrt(3))/(2...

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  9. Which one of the following is correct in respect of the cube roots of ...

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  10. What is the principle argument of ( -1-i) where i = sqrt( - 1).

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  11. Let alpha and beta be real number and z be a complex number. If z^(2) ...

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  12. The number of non-zero integral solution of the equation | 1- 2i|^(x) ...

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  13. If alpha and beta are different complex number of with | beta | = 1, t...

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  14. What is i^(1000) + i^(1001) + i^(1002)+i^(1003) is equal to ( where i ...

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  15. The modulus-argument form of sqrt( 3) + i, where i = sqrt( -1) is

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  16. What is the value of the sum sum(n=2)^(11) ( i^(n) + i^(n+1)), where i...

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  17. The smallest positive integer n for which ((1+i)/( 1-i))^(n) =1, is :

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  18. If | z - ( 4)/( z)| =2, then the maximum value o f |z| is equal to :

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  19. The value of i^(2n) + i^(2n+1) + i^(2n+2) + i^(2n+3), where i = sqrt( ...

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  20. The value of ((-1+isqrt( 3))/(2))^(n) + (( -1-isqrt(3))/(2))^(n) where...

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  21. If 1, omega, omega^(2) are the cube roots of unity, then ( 1+ omega) (...

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