Statement-1 : The locus of complex number z, satisfying `(z-2)^(n) =z^(n)` is a straight line .
and
Statement -2 : The equation of the form ax + by+c =0 in x -y plane is the general equation of striaght line.

If z is a complex number satisfying z+z^(-1)=1 then z^(n)+z^(-n),n in N, has the value

Statement-1: If z is a complex number satisfying (z-1)^(n) , n in N , then the locus of z is a straight line parallel to imaginary axis. Statement-2: The locus of a point equidistant from two given points is the perpendicular bisector of the line segment joining them.

Non-real complex number z satisfying the equation z^(3)+2z^(2)+3z+2=0 are

If z is a complex number satisfying z + z^-1 = 1 then z^n + z^-n , n in N , has the value

Find the locus of a complex number z=x +yi , satisfying the relation |z +i|=|z+ 2| . Illustrate the locus of z in the Argand plane

A complex number z satisfies the equation |Z^(2)-9|+|Z^(2)|=41 , then the true statements among the following are

A complex number z satisfies the equation |Z^(2)-9|+|Z^(2)|=41 , then the true statements among the following are

A complex number z satisfies the equation |Z^(2)-9|+|Z^(2)|=41 , then the true statements among the following are