Complex Numbers and Quadratic Equations
If (1+i1−i)100=a+ib then
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If z1,z2,z3 are complex numbers such that z1a+z2b+z3c=1+i & az1+bz2+cz3=0, then the value of z12a2+z22b2+z32c2 is
Find all complex numbers z which satisfy the following equationzˉ=2−z
∣∣(1+i)(3+i2+i)∣∣ is equal to :
If z1=5+12i and ∣z2∣=4, then
Find the multiplicative inverse of the complex numbers given the following:−i
If the multiplicative inverse of a complex number is (3+4i)(wherei=−1) then the complex number itself is
Let z=x+iy be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the roots of the equation zz3+zz3=350 is
If a2+b2=1, then 1+b−ia1+b+ia=