Complex Number and Quadratic Equations
If the difference between the roots of the equation x2+ax+1=0is less than 5, then the set of possible values of a is
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If z1=a+i1,a=0 and z2=1+bi1, b=0 are such that z1=zˉ2 then
Find real values of x and y if3+ix−1+3−iy−1=i
If z1 and z2 are two complex numbers such that ∣z1∣=∣z2∣ and arg(z1)+rag(z2)=π, then show that z1=−zˉ2.
If the multiplicative inverse of a complex number is 19(3+4i) then the complex number itself is
If z=1+i, then the multiplicative inverse of z2 is (where i=−1)
If z is any complex number satisfying ∣z−3−2i∣≤2, then the minimum value of ∣2z−6+5i∣ is
∣∣(1+i)(3+i2+i)∣∣ is equal to :