MCQ 11 MarkStatement $(a+i b)<(c+i d)$ is true for which of the followings :A$a^2+b^2=0$B$b^2+c^2=0$C$a^2+c^2=0$✓$b^2+d^2=0$AnswerCorrect option: D. $b^2+d^2=0$(D)View full question & answer→
MCQ 21 Mark$\left(\frac{1+i}{\sqrt{2}}\right)^8+\left(\frac{1-i}{\sqrt{2}}\right)^8$ is equal to:A$2 i$B$-2 i$✓$2$D$-2$AnswerCorrect option: C. $2$(C )View full question & answer→
MCQ 31 MarkA complex number is pure imaginary if:Aits imaginary part is zeroBits both real and imaginary parts are zero✓its both parts are zeroDNone of the aboveAnswerCorrect option: C. its both parts are zero(C )View full question & answer→
MCQ 41 MarkIf $(3,4),(2,5)$ and $(-9,16)$ are there complex numbers then:Athese are the vertices of right angled triangleBthese are the vertices of equilateral triangleCthese are the vertices of isosceles triangle✓these are collinearAnswerCorrect option: D. these are collinear(D)View full question & answer→
MCQ 51 MarkLet $z$ be a complex number, then $z+\bar{z}$ and $z \bar{z}$ are :✓both realBboth imaginaryConly one realDNone of theseAnswerCorrect option: A. both real(A)View full question & answer→
MCQ 61 MarkLet $z$ be a complex number then $z+\bar{z}$ is :✓pure realBpure imaginaryCnot decidedDNone of theseAnswerCorrect option: A. pure real(A)View full question & answer→
MCQ 71 MarkIf $z=\left(\frac{1}{2}, 1\right)$, then $z^{-1}$ is equal to :A$\left(-\frac{2}{5}, \frac{4}{5}\right)$B$\left(\frac{1}{5}, \frac{2}{5}\right)$C$\left(\frac{1}{5},-\frac{2}{5}\right)$✓$\left(\frac{2}{5},-\frac{4}{5}\right)$AnswerCorrect option: D. $\left(\frac{2}{5},-\frac{4}{5}\right)$(D)View full question & answer→
MCQ 81 MarkIf $(x-i y)(1-i)=1+5 i$ then:A$x=-2, y=3$B$x=2, y=-3$✓$x=-2, y=-3$D$x=2, y=3$AnswerCorrect option: C. $x=-2, y=-3$(C )View full question & answer→
MCQ 91 Mark$\frac{i^{4 R+1}-i^{4 R-1}}{2}( R \in N )$ is equal to :A$2$B$-i$C$-1$✓$i$AnswerCorrect option: D. $i$(D)View full question & answer→
MCQ 101 MarkIf $(x+i y)(2-3 i)=4+i$ then $x+i y$ is equal to :A$\frac{14}{13}+i \frac{5}{13}$✓$\frac{5}{13}+i \frac{14}{13}$C$\frac{-14}{13}+i \frac{5}{13}$D$\frac{5}{13}-i \frac{14}{13}$AnswerCorrect option: B. $\frac{5}{13}+i \frac{14}{13}$(B)View full question & answer→
MCQ 111 MarkThe real part of $\frac{(1-i)}{(1+i)}$ :A$1$B$-1$✓$0$D$2$AnswerCorrect option: C. $0$(C )View full question & answer→
MCQ 121 MarkIf $\left(\frac{1+i}{1-i}\right)^n=1$ then the minimum value of integer $n$ is:A2✓4C6D8AnswerCorrect option: B. 4(B)View full question & answer→
MCQ 131 MarkThe pure real complex number lies :✓at $x$-axisBat $y$-axisCat any axisDNone of theseAnswerCorrect option: A. at $x$-axis(A)View full question & answer→
MCQ 141 MarkThe conjugate of $\frac{3+2 i}{5-3 i}$ :A$\frac{1}{34}(19 i-9)$✓$\frac{1}{34}(9-19 i)$C$\frac{-1}{34}(9+19 i)$D$\frac{1}{34}(9+19 i)$AnswerCorrect option: B. $\frac{1}{34}(9-19 i)$(B)View full question & answer→
MCQ 151 MarkIf $2+(2 a+5 i b)=8+10 i$, then :A$a=2, b=3$✓$a=3, b=2$C$a=2, b=2$D$a=3, b=3$AnswerCorrect option: B. $a=3, b=2$(B)View full question & answer→
MCQ 161 MarkThe real and imaginary parts of $\frac{5(-8+16 i)}{(1+i)^2}$ :✓$40,20$B$-40,-20$C$20, 40$D$-20,-40$AnswerCorrect option: A. $40,20$(A)View full question & answer→
MCQ 171 MarkIf $z=x+i y$ and $\left|\frac{z-5 i}{z+5 i}\right|=1$ then $z$ lies :✓at $x-$ axisBat $y -$ axisCat line $y=5$DNone of theseAnswerCorrect option: A. at $x-$ axis(A)View full question & answer→
MCQ 181 MarkIf $z_1, z_2 \in C$ then which is true statement:A$\left|z_1-z_2\right|=\left|z_1\right|+\left|z_2\right|$B$\left|z_1-z_2\right|>\left|z_1\right|+\left|z_2\right|$✓$\left|z_1+z_2\right| \leq\left|z_1\right|+\left|z_2\right|$D$\left|z_1+z_2\right|=\left|z_1-z_2\right|$AnswerCorrect option: C. $\left|z_1+z_2\right| \leq\left|z_1\right|+\left|z_2\right|$(C )View full question & answer→
MCQ 191 MarkIf $\left[\frac{1-i}{1+i}\right]^{100}=a+i b$, then :A$a=2, b=-1$B$a=1, b=0$✓$a=0, b=1$D$a=-1, b=2$AnswerCorrect option: C. $a=0, b=1$(C )View full question & answer→