Complex Numbers
Complex Numbers
Allen Star Batch
Grade 11

Question:

Roots of the equation are:
$-1 \pm 2i, -2 \pm 3i$
$2 \pm 2i, 1 \pm 3i$
$-2 \pm 2i, -1 \pm 3i$
$1 \pm 2i, 2 \pm 3i$

Step-by-Step Solution

Key Concept: Identify independent choices and multiply them: 12 choices for one position, 2 for another, and 10 for a third.
The number of ways to arrange objects in a line is $12 \times 2 \times 10 = 240$. The diagram shows 8 positions with labels 1,2,3,3 and gaps labeled 4/5 at positions (1,3,9), indicating a structured arrangement problem.
Correct Answer: 4

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