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If |z|=1 and w=(z-1)/(z+1) (where z!=-1)...

If `|z|=1` and `w=(z-1)/(z+1)` (where `z!=-1),` then `R e(w)` is

A

`1/(|z+1|^2)`

B

`(-1)/(|z+1|^2)`

C

`sqrt2/(|z+1|^2)`

D

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. Let z1 and z2 be nth roots of unity, which subtend a right angle at th...

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  2. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2- z3)= (1-i sq...

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  3. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is

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  4. If z and w are two non-zero complex numbers such that |zw|=1 and Arg (...

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  5. Let z and w be two non-zero complex numbers such that ∣z∣=∣w∣ and arg(...

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  6. Let z =x-iy and z^(1/3)= p+iq.Then (x/p+y/q)//(p^2+q^2) is equal to:

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  7. If |z^2-1|=|z|^2+1, then z lies on :

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  8. If z1a n dz2 are two nonzero complex numbers such that |z1+z2|=|z1|+|z...

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  9. If w= z/(z-i1/3) and |w|=1,then z lies on:

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  10. If a, b, c and u, v, w are complex numbers representing the vertices o...

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  11. If z^(2)+z+1=0, where z is a complex number, the value of (z+1/z)^(2)+...

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  12. If omega=alpha+ibeta, " where " beta ne 0,i=sqrt(-1) " and " z ne 1, s...

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  13. If abs(z+4) le 3, the maximum value of abs(z+1) is

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  14. If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

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  15. A man walks a distance of 3 units from the origin towards the North-...

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  16. The conjugate of a complex number is 1/(i-1). Then that complex number...

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  17. How many real solutions does the equation x^(7)=14x^(5)+16x^(3)+30x-56...

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  18. The quadratic equations x^2""-6x""+""a""=""0""a n d ""x^2""-c x""+""...

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  19. Let z=x+iy be a complex number, where x and y are integers and i=sqrt(...

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  20. If |z-4/z|=2 then the greatest value of |z| is:

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