EASY
JEE Main/Advance
IMPORTANT
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If z=3+7ia+ib where a,bZ-0, is purely imaginary, then the minimum value of z2 is

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Important Questions on Complex Numbers

EASY
JEE Main/Advance
IMPORTANT
If cosθ+isinθcos2θ+isin2θ...cosnθ+isinnθ=1, then the value of θ is, mZ
EASY
JEE Main/Advance
IMPORTANT
Given z=1+i3100, then RezImz equals
EASY
JEE Main/Advance
IMPORTANT
The expression 1+sinπ8+i cosπ81+sinπ8-i cosπ88=
EASY
JEE Main/Advance
IMPORTANT
The number of complex numbers z satisfying z-3-i=z-9-i and z-3+3i=3 are
MEDIUM
JEE Main/Advance
IMPORTANT
Pz be a variable point in the Argand plane such that z=minimum z-1, z+1, then z+z will be equal to
EASY
JEE Main/Advance
IMPORTANT
If z=x+iy x, yR, x-12, the number of values of z satisfying zn=z2 zn-2+zzn-2+1. nN, n>1 is
HARD
JEE Main/Advance
IMPORTANT
The number of solutions of the equation z3+3z¯2z=0 (where, z is a complex number) are