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If the imaginary part of (2z+1)/(iz+1) i...

If the imaginary part of `(2z+1)/(iz+1)` is `-2`, then the locus of the point representing `z` in the complex plane is

A

a circle

B

a st.line

C

a parabola

D

None of these

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-COMPLEX NUMBERS-Multiple Choice Questions (Level-II)
  1. If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the comple...

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

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  3. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

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  4. If |z| lt 4, then |iz+3-4i| is less than :

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  5. The equation not representing a circle is given by

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  6. If alpha+ibeta=tan^(-1)z, z=x+iy and alpha is constant, then locus of ...

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  7. If omega is an imaginary cube root of unity, then the value of (1)/(1+...

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  8. In complex plane, the equation |z+barz|=|z-barz| represents:

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  9. The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...

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  10. If |z(1)|=|z(2)|=|z(3)|=1 and z(1)+z(2)+z(3)=0 , then z(1),z(2),z(3) a...

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  11. (cos2theta+isin2theta)^(-5)(cos3theta-isin3theta)^(6)(sintheta-icosthe...

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  12. If z(1)=9y^(2)-4-10ix, z(2)=8y^(2)+20i, where z(1)=z(2) , then z=x+iy ...

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  13. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

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  14. If |z(1)|=|z(2)|=|z(3)|=|z(4)|, then the points representing z(1),z(2)...

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  15. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

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  16. If alpha,beta are two complex numbers such that |alpha|=1, |beta|=1, t...

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  17. If ((a+ib)^(2))/(a-ib)-((a-ib)^(2))/(a+ib)=x+iy, then x equals

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  18. If alpha is the nth root of unity then 1+2alpha+3alpha^(2)+..............

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  19. If (pi)/(2) lt alpha lt (3pi)/(2), the modulus and argument form of (1...

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  20. If log(1//2).(|z|^(2)+2|z|+4)/(2|z|^(2)+1) lt 0, then the region trace...

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