Let `z = x + iy` be a complex number where x and y are integers. Then ther area of the rectangle whose vertices are the roots of the equaiton `barz z^(3) + zbarz^(3) = 350`.

Let z=x+i y be a complex number where xa n dy are integers. Then, the area of the rectangle whose vertices are the roots of the equation z zbar ^3 + zbar z^3 =350 is (a)48 (b) 32 (c) 40 (d) 80

Let z=x+i y be a complex number where xa n dy are integers. Then, the area of the rectangle whose vertices are the roots of the equation z z ^3+ z z^3=350 is 48 (b) 32 (c) 40 (d) 80

If z is a complex number, then the area of the triangle (in sq. units) whose vertices are the roots of the equation z^(3)+iz^(2)+2i=0 is equal to (where, i^(2)=-1 )

The number of solutions of the equation z^(3)+barz=0 , is

Find the circumstance of the triangle whose vertices are given by the complex numbers z_(1),z_(2) and z_(3) .

If z is a complex number such that |z|=2 , then the area (in sq. units) of the triangle whose vertices are given by z, -iz and iz-z is equal to

Find the complex number z if zbarz = 2 and z + barz=2

The maximum area of a rectangle whose two vertices lie on the x-axis and two on the curve y=3-|x| , -3 <= x <= 3

If z = x+iy is any complex number and |z-1| = |z+1| then show that |z| = y .

Number of complex numbers satisfying z^3 = barz is