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Let z!=i be any complex number such that...

Let `z!=i` be any complex number such that `(z-i)/(z+i)` is a purely imaginary number. Then `z+ 1/z` is

A

0

B

any non-zero real number other than 1

C

any non-zero real number

D

a purely imaginary number

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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  2. If z(1),z(2) and z(3),z(4) are two pairs of conjugate complex numbers ...

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  3. Let z!=i be any complex number such that (z-i)/(z+i) is a purely imagi...

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  4. For all complex numbers z of the form 1 + ialpha, alpha in "R if z"^(2...

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  5. A complex number z is said to be uni-modular if |z|=1. Suppose z(1) a...

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  6. The largest value of r for which the region represented by the set {om...

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  7. If Z is a non-real complex number, then find the minimum value of (Imz...

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  8. A value of for which (2+3isintheta)/(1-2isintheta) purely imaginary, ...

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  9. The point represented by 2+i in the Argand plane moves 1 unit eastward...

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  10. Let z=1+ai be a complex number, a > 0,such that z^3 is a real number....

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  11. Let zinC, the set of complex numbers. Thenthe equation, 2|z +3i| - |z...

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  12. The equation I m((i z-2)/(z-i))+1=0, z & epsi; C , z!=i represents a ...

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  13. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

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  14. The set of all alpha in R for which w = (1+(1-8 alpha)z)/(1-z)is a pur...

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  15. If |z - 3+ 2i| leq 4, (where i = sqrt-1) then the difference of grea...

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  16. The least positive integer n for which ((1+sqrt(3)i)/(1-sqrt(3)i))^(n)...

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  17. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

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  18. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

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  19. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

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  20. If z=(sqrt3/2+i/2)^5+(sqrt3/2-i/2)^5, then

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