Home
Class 12
MATHS
if alpha and beta the roots of z+ (1)/(z...

if `alpha` and `beta` the roots of `z+ (1)/(z) =2 (cos theta + i sin theta )` where `0 lt theta lt pi ` and `i=sqrt(-1)` show that `|alpha - i |= | beta -i| `

Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta are the solution of a cos theta + b sin theta = c , then

If x+i y=(1)/(1+cos theta+i sin theta) then x^(2)

Imaginary part of (1)/(1+cos theta-i sin theta) is

The real part of (1)/(1-cos theta+i sin theta) is

The real part of (1)/(1+cos theta+i sin theta) is

If 3 sin 2 theta=2 sin 3 theta and 0 lt theta lt pi then sin theta=

If a=cos theta+i sin theta then (1+a)/(1-a)=

((cos theta+i sin theta)/(sin theta+i cos theta))^(4)=

sqrt(1+tan^2 theta) = __________, where 0 lt theta lt 90^@

If tan theta+sec theta=sqrt(3), 0 lt theta lt pi then theta=