Mathematics questions
18011 published questions with worked solutions.
- If z=x+iy and | 1-iz z-i |=1, the locus of z 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
- 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