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If |z(1) + z(2)| = |z(1) - z(2)| then th...

If `|z_(1) + z_(2)| = |z_(1) - z_(2)|` then the difference in the arguments of `z_(1)` and `z_(2)` is

A

`(pi)/(4)`

B

`(pi)/(3)`

C

`(pi)/(2)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If z(1) , z(2) are conjugate complex numbers and z(3) , z(4) are also ...

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  2. If z(z), z(2) are two non-zero complex numbers satisfying |z(2)+z(2)|=...

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  3. If |z(1) + z(2)| = |z(1) - z(2)| then the difference in the arguments ...

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

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

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

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  7. If (a(1) + ib(1)) (a(2) + ib(2)) … (a(n) + ib(n)) = A + iB then Tan^...

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  8. If z and omega are two non-zero complex numbers such that |zomega| =1...

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

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  10. sqrt(4ab - 2i (a^(2) - b^(2) ) =

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  11. x + isqrt(x^(4) + x^(2) + 1)) =

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  12. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

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  13. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

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  14. If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 o...

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  15. (1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + ...

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  16. If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...

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  17. If 1 , omega , omega^(2) are the cube roots of unity , then (x + y + z...

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  18. 4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) + 3 ( - (1)/(2) + (isqrt3)/(2)...

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  19. If a = cos "" (4pi)/(3) + isin "" (4pi)/(3) then ((1 + a)/(2))^(3n) =

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  20. If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)...

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