Class 11| Complex Number | IITJEE | | Z1-Z2/Z1+Z2| =1 iz1/z2=k prove that z1/z2 is purely imaginary and find angle between z1+z1/z1-z2

 

Complex number z1, z2, z3 such as |z1|=|z2|=|z3|=|1/z1 + 1/z2 + 1/z3| then find the value of |z1+z2+z3| | Class 11 Complex Number

 

If z=x+iy, w=1-iz/z-i and |w|=1 then prove that z lies on real axis | Class 11 Complex Number

 

If z=x+iy then show that |x|+|y|<=sqrt|x+iy| | Class 11 Complex Number

 

Solve |z|+z=2+i | Class 11 Complex Number

 

Solve conjugate(z) = iz² | class 11 complex Number

 

If z1²+z2²+z3²-z1z2-z2z3-z3z1=0 then show that |z1-z2|=|z2-z3|=|z3-z1| | Class 11 Complex Number

 

Show that area of a triangle in a complex plane vertex z, iz, (z+iz) is 1/2|z|² | class 11 complex number

 

Vertex of an equilateral triangle in a complex plane z1, z2 and z3 prove that | class 11 Complex Number

 

The points of z satisfying arg ( z-1/z+1)= 4 π ​ lies on a circle | Class 11 Complex Number

 

If |z-i| is less than equal to 2 and Zo=5+3i, find the maximum value of | iZ+Zo | is

 

Sqrt(-1-sqrt(-1-sqrt(-1-..........infinity))) is equal to

 

Answer : w^2

if a+b+c =0 and 1,w,w^2 are three cube roots of unity , then (a+bw+cw^2)^3+( a+bw^2+c^2)^3 is equal to 27abc

 

cos theta + i sin theta is equal to e^ie

 

Find the value of i^i

 

Square root of i  or root i value click here 

Sqrt(i) = what

Root i = ?

i^i = ? click here to know