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

If the imaginary part of `(2z + 1)/(iz + 1)` is -4, then the locus of the point representing z in the complex plane is

A

a circle

B

a straight line

C

a parabola

D

none of these

Text Solution

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The correct Answer is:
B
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ML KHANNA-COMPLEX NUMBERS -Problem Set (3) (M.C.Q) Locus:
  1. If the imaginary part of (2z + 1)/(iz + 1) is -4, then the locus of th...

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  2. If I m((z-1)/(e^(thetai))+(e^(thetai))/(z-1))=0 , then find the locus ...

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  3. Locus of the point z satisfying the equation |iz-1|+|z-i|=2 is

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  4. The complex numbers z = x + iy which satisfy the equation |(z-5i)/(z+5...

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  5. The locus of the points z satisfying the condition arg ((z-1)/(z+1))=p...

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  6. z1, z2, z3,z4 are distinct complex numbers representing the vertices o...

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  7. If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...

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  8. The region of the complex plane for which |(z-a)/(z+veca)|=1,(Re(a) !=...

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  9. If "Re"((z-8i)/(z+6))=0, then lies on the curve

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  10. The locus represented by |z-1|=|z+i| is:

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  11. If | bar(z)| = 25 then the points representing the number - 1 + 75 b...

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  12. If P is the affix of z in the Argand diagram and P moves so that (z -...

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  13. If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...

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  14. If |ak|< 3, 1 le k le n, then all complex numbers z satisfying equatio...

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  15. Prove that the distance of the roots of the equation |sintheta1|z^3+|s...

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  16. If z^(2) + z | z| + | z|^(2) = 0 , then the locus of z is

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  17. If alpha+ibeta=tan^(-1) (z), z=x+iy and alpha is constant, the locus o...

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