The complex number z has argument `theta ,0 lt theta lt (pi)/(2)` and satisfy the equation `|z-3i|=3`. Then prove that `( cot theta-(6)/(z))=i`

The complex z has argument theta (0 lt theta lt (pi)/(2)) and satisfy the equation |z - 3i| = 3 then prove that ( cot theta - (6)/(z)) = i

The complex number z has argZ = theta , 0 lt theta lt (pi)/(2) and satisfy the equation |z-3i|=3 . Then value of ( cot theta-(6)/(z)) =

The complex number z has argument, 0ltthetalt(pi)(2) and satisfy the equation |z-3 i|=3 . Then cot theta-(6)/(z)=

Let z be a complex number having the argument theta, 0 < theta < pi/2 , and satisfying the equation |z-3i|=3. Then find the value of cot theta-6/z

Let z be a complex number having the argument theta , 0 < theta < pi/2 , and satisfying the equation |z-3i|=3. Then find the value of cottheta-6/z

Let z be a complex number having the argument theta , 0 < theta < pi/2 , and satisfying the equation |z-3i|=3. Then find the value of cottheta-6/z

Let z be a complex number having the argument theta,0

Let z be a complex number having argument greater than 0 but less than 'pi/2' and satisfying equation (z-5i)(barz+5i)=25 then cot theta-10/z is equal to

The value of theta in the range 0 lt= theta lt= (pi)/(2) which satisfies the equation sin ( theta +(pi)/(6)) = cos theta is equal to