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If |z|=1 and z!=1, then all the values o...

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

A

a line not passing through the origin

B

`abs(z)=sqrt(2)`

C

the X-axis

D

the Y-axis

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

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

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

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

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  5. Let A, B, C be three sets of complex number as defined below: A={z:Img...

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  6. What is 5% Equals to

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  7. Express in the form of complex number i^9+i^(19)

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  8. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

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  9. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

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  10. Let z = x + iy be a complex number where x and y are integers. Then...

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  11. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

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

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  13. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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  14. Find the value of 2^4

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  15. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

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  16. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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  17. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  18. The set {R e((2i z)/(1-z^2)): z is a complex number,|z|=1,z=+-1} is.

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  19. The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

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  20. Find the value of 3^4

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