If `alpha,beta,gamma,delta` are four complex numbers such that `gamma/delta` is real and `alpha delta - beta gamma !=0` then z = `(alpha + beta t)/(gamma+ deltat)` represents a

If alpha,beta,gamma,delta are four complex numbers such that (gamma)/(delta) is real and alpha delta-beta gamma!=0 then z=(alpha+beta t)/(gamma+delta t) represents a

If cos (alpha + beta) sin (gamma + delta) = cos (alpha - beta) sin (gamma - delta) then:

Let alpha,beta,gamma,delta be four real numbers such that alpha^(2)+gamma^(2)=9 and beta^(2)+delta^(2)=1 ,then the maximum value of 3(alpha beta-gamma delta)+4(alpha delta+beta gamma) is

Let alpha,beta,gamma and delta are four positive real numbers such that their product is unity,then the least value of (1+alpha)(1+beta)(1+gamma)(1+delta) is :

designated by alpha, beta, gamma and delta are in order:

If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) then the value of cot alpha cot beta cot gamma, is

sin (beta+ gamma- alpha) + sin (gamma+ alpha - beta) + sin (alpha + beta- gamma)- sin (alpha + beta + gamma)=

If alpha,beta,gamma are three distinct real numbers such than 0