MEDIUM
JEE Main/Advance
IMPORTANT
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The equation of the radical axis of the two circles is represented by the equations, z-2=3 and z-2-3i=4 on the complex plane is

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Important Questions on Complex Numbers

EASY
JEE Main/Advance
IMPORTANT
If log12z-1+43z-1-2>1, then the locus of z is
MEDIUM
JEE Main/Advance
IMPORTANT
Points z1 and z2 are adjacent vertices of a regular octagon. The vertex z3 adjacent to z2z3z1 is represented by :
MEDIUM
JEE Main/Advance
IMPORTANT
If p=a+bω+cω2; q=b+cω+aω2 and r=c+aω+bω2 where a, b, c0 and ω is the non-real complex cube root of unity, then
EASY
JEE Main/Advance
IMPORTANT
The points z1=3+3i and z2=23+6i are given on a complex plane. The complex number lying on the bisector of the angle formed by the vectors z1 and z2 is :
EASY
JEE Main/Advance
IMPORTANT
Let ω be the non real cube root of unity which satisfy the equation hx=0 where hx=xfx3+x2gx3 If hx is polynomial with real coefficient then which statement is incorrect.
HARD
JEE Main/Advance
IMPORTANT
If 1,α1,α2,α3,,αn-1 be the nth  roots of unity, then the value of sinπn·sin2πn·sin3πn..sinn-1πn equals
HARD
JEE Main/Advance
IMPORTANT
If a and b are positive integers such that N=a+ib3-107i is a positive integer, then find the value of N2
MEDIUM
JEE Main/Advance
IMPORTANT
If x=9139199127, y=4134-194127 and z=r=11+i-r and principal argument of P=x+yz is -tan-1ab, then determine a2+b2 (where a & b are co-prime natural numbers).