Mathematics Tes...

The complex number z=1+i represented by the point P in argand plane and OP is rotated by an angle of (π/2) in counter clock wise direction then the resulting complex number is:

If a>0 and z|z|+az+2a=0, then z must be-

If 2i²+6i³+3i¹⁶−6i¹⁹+4i²⁵=x+iy, then (x,y)=

The necessary and sufficient condition for the points z₁, z₂, z₃ to be collinear is that-

z₁,z₂ are the roots of the equation z²+az+b=0. Let z₁, z₂ and the origin be the vertices of an equilateral triangle. Then a²−3b=

(1+i+i²+i³+i⁴+i⁵)(1+i)=

If a,b,c are real and a+b+c=0 (for at least one of a,b,c non zero ) and az₁+bz₂+cz₃=0 then z_1,z₂,z₃ are

If z₁, z₂, z_3,are in A.P, then which of the following is/are true?

\(i^{57}+\frac{1}{i^{125}}=\)