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The amplitude of (1+i)/(1+sqrt(3) i) is...

The amplitude of `(1+i)/(1+sqrt(3) i)` is

A

a.`(pi)/(12)`

B

b.`-(pi)/(12)`

C

c.`(pi)/(4)`

D

d.`-(pi)/(4)`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  2. The amplitude of (-1)^(5) i is

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  3. The amplitude of (1+i)/(1+sqrt(3) i) is

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  4. -1+i sqrt(3)=r e^(i theta) then theta=

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  5. The modulus and amplitude of e^((2 + i pi/3)) is

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  6. If |z(1)|=|z(2)| and arg z(1) + arg z(2)=0 then

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  7. Let z and w be two non-zero complex numbers such that |z|=|w| and arg....

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  8. Let z be a complex number such that |z| = 4 and arg (z) = 5pi//6, then...

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  9. The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...

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  10. The complex number z which satisfies the Equation |(i+z)/(i-z)|=1 lies...

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  11. If z(1) and z(2) are complex number and (z(1))/(z(2)) is purely imagi...

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  12. If |z|=1 and w=(z-1)/(z+1) (where z ne -1), then Re (w) is :

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  13. If the complex number (1-i sin theta)/(1+2 i sin theta) is purely imag...

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  14. The complex numbers z(1), z(2), z(3) are three vertices of a parallelo...

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  15. The complex numbers 1,-1, i sqrt(3) form

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  16. If x=cis A, y=cis B, z =cis C where A, B, C are the angles of a trian...

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  17. The value of ((1+i)/(sqrt(2)))^(8)+((1-i)/(sqrt(2)))^(8)=

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  18. If x=-1-i sqrt(3) then the value of x^(3) is

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  19. If (sqrt(3)+i)^(100)=2^(99)(a+i b) then a^(2)+b^(2)=

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  20. The value of (-1+i sqrt(3))^(48)=

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