Practice questions
88551 published questions with worked solutions.
- If - < (z)<- 2 then ( z)- (- z) is
- The number of solutions of the equation z^2+ z=0 is
- The points in the set z C: ( z-2 z-6i )= 2 (where C denotes the set of all complex numbers) lie on the curve which is a
- If |z+4| 3, then the greatest and the least value of |z+1| are respectively
- The argument of the complex number 13-5i 4-9i is
- The modulus and amplitude of 1+2i 1-(1-i)^2 are
- 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