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If ((1+i)/(1-i))^(x)=1, then...

If `((1+i)/(1-i))^(x)=1`, then

A

`x= 2n`, where n is any positive integer

B

`x= 4n+1`, where n is any positive integer

C

`x= 2n+1`, where n is any positive integer

D

`x= 4n`, where n is any positive integer

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The correct Answer is:
D
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NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
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  4. If z and omega are two non-zero complex numbers such that |z omega|=1"...

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  9. Let z, omega be complex numbers such that bar(z)+ibar(omega)=0" and "a...

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  10. If z= x-iy" and "z^(1/3)= p+iq, then (((x)/(p)+(y)/(q)))/((p^(2)+q^(2)...

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  11. If |z^(2)-1|=|z^(2)|+1, then z lies on

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  12. If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...

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  13. If omega=(z)/(z-(1/3)i)" and "|omega|=1, then z lies on

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

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  15. The value of a for which the sum of the squares of the roots of the eq...

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  16. If the both roots of the equation x^(2)-bx+c=0 be two consecutive inte...

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  17. If the both the roots of the quadratic equation x^(2)-2kx+k^(2)+k-5=0 ...

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  18. Find the derivative of x^(n)+ax^(n-1)+a^(2)x^(n-1)+ . . .+a^(n-1)x+a^(...

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  19. If the roots of the quadratic equation x^(2)+px+q=0 are tan 30^(@)" an...

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  20. All the values of m for which both roots of the equation x^(2)-2mx+m^(...

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