Let z be a complex number lying oon a ci...

Let z be a complex number lying oon a circle `|z|=sqrt(2)` a and `b=b_(1)+ib_(2)` (any complex number), then
The equation of tangent at point 'b' is

`z bar(b)+bar(z)b=a^(2)`

`z bar(b)+bar(z)b=2a^(2)`

`z bar(b)+bar(z)b=3a^(2)`

`z bar(b)+bar(z)b=4a^(2)`

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Let z be a complex number lying oon a circle |z|=sqrt(2) a and b=b_(1)+ib_(2) (any complex number), then The equation of stright line parallel to the tangent and passing through centre of circle is

`z bar(b)+bar(z)b=0`

`2z bar(b)+bar(z)b=lambda`

`2z bar(b)+3bar(z)b=0`

`z bar(b)+bar(z)b=lambda`

`z=+-(lb^(2))/(2a^(2))bar(z)`

`z=+-(ib^(2))/(a^(2))bar(z)`

`z=+-(ib^(2))/(3a^(2))bar(z)`

`z=+-(ib^(2))/(4a^(2))bar(z)`

`(1-itan((argz)/2))/(1+itan((argz)/2))`

`(1+itan((argz)/2))/(1-itan((argz)/(2)))`

`(1-itan(argz))/(1+itan((argz)/2))`

none of these