Complex Numbers questions
967 published questions with worked solutions.
- The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals
- If ( 5+ 3i )^ 33 =2^ 49 z, then modulus of the complex number z is equal to
- | 12(z_1+z_2)+ z_1z_2 |+ | 12(z_1+z_2)- z_1z_2 | is equal to
- If z= 4 1-i , then z is (where z is complex conjugate of z)
- The complex number z=x+iy, which satisfy the equation | z-5i z+5i |=1 lies on
- For any complex number z, the minimum value of |z|+|z-1| is
- The conjugate of a complex number is 1 i-1 . Then, that complex number is
- The complex numbers x+i 2x and x-i 2x are conjugate to each other for
- If (3+i)z=(3-i) z, then the complex number z is
- If 2z_1 3z_2 is purely imaginary, then | z_1-z_2 z_1+z_2 | is
- The modulus and amplitude of (1+i 3 )^8 are respectively
- If z=x+iy is a variable complex number such that z-1 z+1 = 4, then
- The amplitude of 1+i 3 3+i is
- If z=r( +i ), then the value of z z + z z is
- If and are different complex numbers with | |=1, then | - 1- | is
- If w= +i , where 0 and z 1, satisfies the condition that ( w- wz 1-z ) is purely real, then the set of values of z is
- The argument of 1+i 3 1-i 3 is
- The principle amplitude of ( 40^ +i 40^ )^5 is
- If z and w are two non-zero complex numbers such that |zw|=1 and (z)- (w)= 2, then zw is equal to
- If z= 3+i, then the argument of z^2e^ z-i is equal to
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