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If w=alpha+ibeta, where beta!=0 and z!=1...

If `w=alpha+ibeta,` where `beta!=0` and `z!=1` , satisfies the condition that `((w- bar w z)/(1-z))` is a purely real, then the set of values of `z` is `|z|=1,z!=2` (b) `|z|=1a n dz!=1` (c)`z=bar z ` (d) None of these

A

`{z:abs(z)=1}`

B

`{z:z=bar(z)}`

C

`{z:z ne 1}`

D

`{z:abs(z)=1,z ne 1}`

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)
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  2. If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.

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  3. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

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

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

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