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if |z-iRe(z)|=|z-Im(z)| where i=sqrt(-1)...

if `|z-iRe(z)|=|z-Im(z)|` where `i=sqrt(-1)` then `z` lies on

A

Re (z) = 2

B

Im (z) = 2

C

Re (z) + Im (z) = 2

D

None of these

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -EXERCISE LEVEL 1
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  2. If omega is complex cube root of that 1/(a+omega)+1/(b+omega)+1/(c+ome...

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  3. if |z-iRe(z)|=|z-Im(z)| where i=sqrt(-1) then z lies on

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  4. If omega is a complex cube root of unity, then value of expression cos...

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  5. If roots of the equation z^2+ az + b = 0 are purely imaginary then

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  6. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

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  7. If 8iotaz^3+12z^2-18z+27iota=0 then: a. |z|=3/2 b. |z|=2/3 c. |z|=...

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  8. If a complex number z lies in the interior or on the boundary of a cir...

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  9. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

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  10. Suppose z(1), z(2), z(3) represent the vertices A, B and C respectivel...

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  11. Suppose that three points z(1), z(2), z(3) are connected by the relati...

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  12. If the number (z-1)/(z+1) is purely imaginary, then

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  13. If z s a complex number such that -pi/2 leq arg z leq pi/2, then which...

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  14. If |omega|=1, then the set of points z=omega+1/omega is contained in o...

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  15. The number of complex numbers z such that |z|=1a n d|z// z + z //z=1...

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  16. If |z1|=|z2|=|z3|=1 are twu complex numbers such that |z1|=|z2|=sqrt2...

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  17. Let z(1), z(2), z(3) be three non-zero complex numbers such that z(1) ...

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  18. If |z1|=|z2|=|z3|=1 then value of |z1-z3|^2+|z3-z1|^2+|z1-z2|^2 cannot...

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  19. Let z1z2,z3, be three complex number such that z1+z2+z3=0 and |...

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  20. Let z(1), z(2), z(3) be three complex numbers such that |z(1)| = |z(2)...

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