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It zne1 and z^2/(z-1) is real , then po...

It `zne1 and z^2/(z-1)` is real , then point represent by the complex number z lies

A

either on the real axis or on a circle not passing through the origin

B

on the imaginary axis

C

either on the real axis or on a circle passing through the origin

D

on a circle with centre at the origin

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

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  2. If (z+2)/(z+6i) is purely real then the locus of z = x +iy is

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  3. It zne1 and z^2/(z-1) is real , then point represent by the complex n...

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  4. A complex number z is said to be unimodular if |z|=1 , Suppose z1 and ...

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  5. If z=(lamda+3)+isqrt(5-lamda^2) then the locus of z is a circle with ...

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

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  7. If |z-1| gt2|z-2| then the locus of z = x + iy is

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  8. The region represented by |z+a|+|z-a| lt4a is

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  9. The region of the argand plane defined by |z-i| +|z+i|le4 is

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  10. The locus of z satisfying the inequality |(z+2i)/(2z+i)|lt1 where z = ...

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  11. The locus of z satisfying the inequality log(1//3)|z+1|gtlog(1//3)|z-...

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  12. If log tan30^@((2|z|^2+2|z|-3)/(|z|+1))lt-2 , then

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  13. |z-4|lt|z-2| represents the region given by

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  14. If |z-4/z|=2 , then the maximum value |z| is equal to

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  15. If z is a complex number such that |z|ge2 ,then the minimum value of |...

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  16. The number of complex number z such |z-1|=|z+1|=|z-i| equals

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  17. The number of solutions for z^3+barz=0 is

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  18. The triangle formed by the points 1, (1+i)/(sqrt(2)) and i as vertice ...

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  19. If z1=1+2i,z2=2+3i,z3=3+4i, " then " z1,z2and z3 represents the vertic...

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  20. In the Argrand plane, the points represented by the complex numbers 1+...

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