Complex Number and Quadratic Equations
An equation is condition on a _________
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If complex number z(z=2) satisfies the equation z2=4z+∣z∣2+∣z∣31, then the value of ∣z∣−4 is
If a complex number Z satisfies ∣z2−1∣=∣z∣2+1 then z lies on __
If (1+i)(1+2i)(1+3i)...(1+ni)=a+ib, then 2×5×10×...×(1+n2) is equl to
Let α and β be two roots of the equation x2+2x+2=0, then α15+β15 is equal to
If a complex number z satisfies ∣2x+10+10i∣≤53−5 then the least principal argument of z is
tani[loge(a+iba−ib)] is equal to
The number of values (real) of x, such that 3x−1+31−x≤2, is ______
Find the multiplicative inverse of the following complex numbers.(1+i3 ) 2