Complex Number and Quadratic Equations
If z=(i)(i)(i) where i=−1, then |z| is equal to
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∣z1∣ and ∣z2∣ are two distinct points in an Argand plane. If a∣z1∣=b∣z2∣ (where a,b∈R), then the point (az1/bz2)+(bz2/az1) is a point on the
If n is a positive integer than show that(1+i)2n+(1−i)2n=2(n+1)cos(nπ/2)
The number of complex numbers z such that ∣z+1∣=∣z−3∣ equals :-
If 2z1/3z2 is a purely imaginary number, then find the value of ∣(z1−z2)/(z1+z2) ∣.
Find the multiplicative inverse of 23−21i.
If z1,z2,z3 are 3 distinct complex numbers such that ∣z2−z3∣3=∣z3−z1∣4=∣z1−z2∣5, then the value of z2−z39+z3−z116+z1−z225 equals
If z is a non-zero complex number, then ∣∣zzˉ∣zˉ∣2ˉ∣∣ is equal to
The value of the determinant ∣∣1+i1+ii1−ii1+ii1+i1−i∣∣