A complex number z is said to be unimodular if . Suppose z1and z2are complex numbers such that 2−z1z2z1−2z2is unimodular and z2is not unimodular. Then the point z1lies on a :

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A complex number z is said to be unimodular if . Suppose {z}_{

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A complex number z is said to be unimodular if . Suppose $z_{1}$ and $z_{2}$ are complex numbers such that $\frac{z _{1} - 2 z _{2}}{2 - z _{1} z _{2}}$ is unimodular and $z_{2}$ is not unimodular. Then the point $z_{1}$ lies on a :

straight line parallel to x-axis

straight line parallel to y-axis

circle of radius 2

circle of radius

2

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A complex number z is said to be unimodular if . Suppose

z_{1}

and

z_{2}

are complex numbers such that

\frac{z _{1} - 2 z _{2}}{2 - z _{1} z _{2}}

is unimodular and

z_{2}

is not unimodular. Then the point

z_{1}

lies on a :

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Question Text	A complex number z is said to be unimodular if . Suppose $z_{1}$ and $z_{2}$ are complex numbers such that $\frac{z _{1} - 2 z _{2}}{2 - z _{1} z _{2}}$ is unimodular and $z_{2}$ is not unimodular. Then the point $z_{1}$ lies on a :
Answer Type	Video solution: 1
Upvotes	150

A complex number z is said to be unimodular if . Suppose z1​and z2​are complex numbers such that 2−z1​z2​z1​−2z2​​is unimodular and z2​is not unimodular. Then the point z1​lies on a :

Filo tutor solutions (1)

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A complex number z is said to be unimodular if . Suppose $z_{1}$ and $z_{2}$ are complex numbers such that $\frac{z _{1} - 2 z _{2}}{2 - z _{1} z _{2}}$ is unimodular and $z_{2}$ is not unimodular. Then the point $z_{1}$ lies on a :