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If Re (z^2)=2 then the locus of z is...

If Re `(z^2)=2` then the locus of z is

A

`xy=1,x^2-y^2=0`

B

`xy=0,x^2-y^2=2`

C

`xy=0,x^2-y^2=1`

D

`xy=2,x^2-y^2=0`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If Re ((z+3)/(z-2i))=0 then the locus of z = x +iy is

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  2. If Im ((z-1)/(z+1))=0 then the locus of z = x + iy is

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  3. If Re (z^2)=2 then the locus of z is

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  4. If z(barz+3)=2 then the locus of z = x + iy is

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  5. If zbarz=4 then the locus of z is

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  6. If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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