Home
Class 11
MATHS
Find the centre and radius of the circle...

Find the centre and radius of the circle formed by all thepoints represented by `z = x + iy` satisfying the relation `|(z-alpha)/(z-beta)|= k (k !=1)`, where `alpha and beta` are the constant complex numbers given by `alpha = alpha_1 + ialpha_2, beta = beta_1 + ibeta_2`.

Promotional Banner

Similar Questions

Explore conceptually related problems

find the centre and radius of the circle formed by all the points represented by z=x+iy satisfying the relation abs((z-alpha)/(z-beta))=k(k ne1) where alpha and beta are constant complex numbers given by alpha=alpha_1+Ialpha_2,beta=beta+ibeta_2

If alpha and beta are different complex numbers with |beta|=1 , then find |(beta-alpha)/(1-baralpha beta)|

If alpha and beta Are different complex number with |alpha|=1, then what is |(alpha- beta)/(1-alpha beta)| equal to ?

If alpha" and "beta are complex numbers such that |beta|=1, " then "|(beta - alpha)/(1-bar(alpha)beta)|=

If alpha and beta are complex cube roots of unity, then (1-alpha)(1-beta)(1-(alpha)^2)(1-(beta)^2) =

If alpha and beta two different complex numbers with |beta|=1 , then |(beta-alpha)/(1-bar(alpha)beta)| is equal to

If sin (alpha - beta) =1/2 and cos (alpha + beta) =1/2, where alpha and beta are positive acute angles, then alpha and beta are