Complex Number and Quadratic Equations
If the roots of the equation bx2+cx+a=0be imaginary, then for all real values of x, the expression 3b2x2+6bcx+2c2is
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The principal argument of the complex number[−2i(−3+i)][(1+i)5(1+3i)2] is
If k+∣∣k+z2∣∣=∣z∣2(k∈R−), then possible argument of z is
If (1−i1+i)3−(1+i1−i)3=x+iy, find (x, y)
If z is a complex number such that arg (z+6z−6)=3π then the locus of z is
Find all complex numbers z which satisfy the following equationz=−zˉ
Find the multiplicative inverse of the following complex numbers:4−3i
If ∣z∣=1,z=i, then z can be written in the form
If z=23+2i(i=−1), then (1+iz+z5+iz8)9 is equal to