Mark the correct answer for 3 i^ 34 +5 i^ 27 -2 i^ 38 +5 i^ 41 = … - Vidyadip

MCQ

Mark the correct answer for $3 i^{34}+5 i^{27}-2 i^{38}+5 i^{41}=$ ?

A
1
B
-1
C
-4i
D
10i

✓

Answer

(b) -1
Explanation: $3^{34}+5 i^{27}-2 i^{38}+5 i^{41}=3 \times\left(i^4\right)^8 \times i^2+5 \times\left(i^4\right)^6 \times i^3-2 \times\left(i^4\right)^9 \times i^2+5 \times\left(i^4\right)^{10} \times i$
$\begin{array}{l}=3 \times 1 \times(-1)+5 \times 1 \times(-i)-2 \times 1 \times(-1)+5 \times 1 \times i \\ =-3-5 i+2+5 i=-1\end{array}$

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