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Complex number part 2

The conjugate of a complex number is 1/(i-1) . Then the complex number is

The conjugate of the complex number (a+ib) is :

If z is a complex number, then

If z is a complex number then

If the multiplicative inverse of a complex number is (sqrt2 +5i)/17 ,then the complex number is

If z is any complex number, then the area of the triangle formed by the complex number z, wz and z+wz as its sides, is

The modulus of the complex number z =a +ib is

Write the complex number: sqrt(-16)

The complex number z is purely imaginary , if