Write the value of `a r g(z)+a r g( z )` .

Write the value of a r g(z)+a r g( barz ) .

Write the value of a r g(z)+a r g(barz ) .

If z_1, z_2a n dz_3, z_4 are two pairs of conjugate complex numbers, then find the value of "a r g"(z_1//z_4)+a r g(z_2//z_3)dot

If p^(th), q^(th) and r^(th) terms of G.P. are x,y,z respectively then write the value of x^(q-r) y^(r-p) z^(p-q).

if |z_1+z_2|=|z_1|+|z_2|, then prove that a r g(z_1)=a r g(z_2) if |z_1-z_2|=|z_1|+|z_2|, then prove that a r g(z_1)=a r g(z_2)=pi

The maximum value of |a r g(1/(1-z))| for |z|=1, z!=1 is given by.

Write the coefficient of: (i) z in -7x y z (ii) p in -3p q r

If a r g(z)<0, then a r g(-z)-"a r g"(z) equals pi (b) -pi (d) -pi/2 (d) pi/2

If p=(sqrt(q)+z)/(r^(2)+z) , what is the value of z in terms of p, q, and r ?

let z_1,z_2,z_3 and z_4 be the roots of the equation z^4 + z^3 +2=0 , then the value of prod_(r=1)^(4) (2z_r+1) is equal to :