Practice questions
88551 published questions with worked solutions.
- 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
- If m_1,m_2,m_3 and m_4 respectively denote the moduli of the complex numbers 1+4i, 3+i, 1-i and 2-3i, then the correct one, among...
- The conjugate of the complex number (1+i)^2 1-i is
- If z_1=1+2i and z_2=3+5i, then Re [ z_2z_1/z_2 ] is equal to
- The modulus of the complex number z such that |z+3-i|=1 and (z)= is equal to
- If _1, _2, _3 respectively denote the moduli of the complex numbers -i, 13(1+i) and -1+i, then their increasing order is
- For two complex numbers z_1,z_2 the relation |z_1+z_2|=|z_1|+|z_2| holds, if
- The locus of z satisfying the inequality | z+2i 2z+i |<1 where z=x+iy, is
- If (z)= then ( z) is equal to
- If the amplitude of z-2-3i is 4, then the locus of z=x+iy, is
- The number of solutions for the equations |z-1|=|z-2|=|z-i| is
- If a= 1-i 3 2, then the correct matching of list I from list II is. List I: (A) a a, (B) ( 1a ), (C) a- a, (D) Im ( 4 3a ). List...
- The amplitude of 5+i (1- 5 ) is
- The magnitude and amplitude of (1+i 3)(2+2i) ( 3-i) are respectively
- If z_1= 2 ( 4+i 4 ) and z_2= 3 ( 3+i 3 ), then |z_1z_2| is