# Complex Numbers · Mathematics · AP EAPCET

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AP EAPCET 2021 - 20th August Morning Shift
If $$z_1=2+3 i$$ and $$z_2=3+2 i$$, where $$i=\sqrt{-1}$$, then $$\left[\begin{array}{cc}z_1 & z_2 \\ -\bar{z}_2 & \bar{z}_1\end{array}\right]\left[\b... AP EAPCET 2021 - 20th August Morning Shift The radius of the circle represented by$$(1+i)(1+3i)(1+7i)=x+iy$$is$$(i=\sqrt{-1})$$. AP EAPCET 2021 - 20th August Morning Shift If$$1, \alpha_1, \alpha_2, \alpha_3$$and$$\alpha_4$$are the roots of$$z^5-1=0$$and$$\omega$$is a cube root of units, then$$(\omega-1)\left(\o...
AP EAPCET 2021 - 20th August Morning Shift
If $$a > 0$$ and $$z=x+i y$$, then $$\log _{\cos ^2 \theta}|z-a|>\log _{\cos ^2 \theta}|z-a i|,(\theta \in R)$$ implies
AP EAPCET 2021 - 20th August Morning Shift
If one root of the equation $$i x^2-2(i+1) x+(2-i)=0$$ is $$(2-i)$$, then the other root is
AP EAPCET 2021 - 19th August Evening Shift
If $$|z-2|=|z-1|$$, where $$z$$ is a complex number, then locus $$z$$ is a straight line
AP EAPCET 2021 - 19th August Evening Shift
If $${\left( {{{1 + i} \over {1 - i}}} \right)^m} = 1$$, then m cannot be equal to
AP EAPCET 2021 - 19th August Morning Shift
$$(\sin \theta-i \cos \theta)^3$$ is equal to
AP EAPCET 2021 - 19th August Morning Shift
Real part of $$(\cos 4+i \sin 4+1)^{2020}$$ is
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