Complex Numbers and Quadratic Equations
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For two non-zero complex number A & B if A+B1=A and A1+B=B then-
If z1,z2 are two complex number such that ∣∣z1+z2z1−z2 ∣∣=1 and tz1=kz2 where k∈R, then the angle between (z1−z2) and (z1+z2) is
If z=x−iy and z1/3=p+iq, then p2+q2px+qy equals
If (x+iy)1/3=a+ib, then ax+by is equal to :
If x=(21+i),(wherei=−1) the expression [2x4−2x2+x+3] equals ?
If z=1+i, then the multiplicative inverse of z2 is (where i=−1)
Find the multiplicative inverse of the following complex numbers:1−i
If (23+23)50=325(x−iy) where x,y are real, then the ordered pair (x,y) given by