# Complex Numbers · Mathematics · AP EAPCET

Start Practice## MCQ (Single Correct Answer)

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