Complex Numbers questions
967 published questions with worked solutions.
- If z_1,z_2, ,z_n are complex numbers such that |z_1|=|z_2|= =|z_n|=1, then |z_1+z_2+ +z_n| is equal to
- If z is a complex number such that z=-z, then
- Let z,w be complex numbers such that z+i w=0 and (zw)= . Then (z) equals
- Let z_1 be a complex number with |z_1|=1 and z_2 be any complex number, then | z_1-z_2 1- z_1z_2 | is equal to
- The argument of (1-i 3)(1+i 3) is
- If 5z_2 11z_1 is purely imaginary, then the value of | 2z_1+3z_2 2z_1-3z_2 | is
- A real value of x will satisfy the equation ( 3-4ix 3+4ix )= -i ( , real), if
- The real part of [1+ ( 5 )+i ( 5 ) ]^ -1 is
- The conjugate of complex number 2-3i 4-i is
- The solution of equation |z|-z=1+2i is
- The modulus of 1-i 3+i + 4i 5 is
- For any two complex numbers z_1 and z_2 and any real numbers a and b, |az_1-bz_2|^2+|bz_1+az_2|^2 is equal to
- If |z- 4z |=2, then the maximum value of |z| is equal to
- Argument of the complex number ( -1-3i 2+i ) is
- 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
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