Exercises for Question Type 4: For a given complex number, determining the quadrant and finding the argument

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Exercises for Question Type 4: For a given complex number, determining the quadrant and finding the argument - IB

Question 1

Consider the complex number z = 2 - 23 i .

Determine the quadrant in which z lies and the argument ar g (z), expressing the argument in radians in the interval (0, 2 π) .

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Question 2

Determine the quadrant and argument ar g (z) of the complex number z = 5 - 5 i, expressing the argument in radians in the interval (0, 2 π) .

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Question 3

Determine the quadrant and the argument ar g (z) of the complex number z = 1 + i, expressing the argument in radians in the interval [0, 2 π) .

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Question 4

Determine the quadrant and principal argument ar g (z) of the complex number z = - 3 + 3 i, expressing the argument in radians in the interval (0, 2 π) .

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Question 5

Consider the complex number z = 7 + 7 i 3 .

Determine the quadrant in which z lies and find ar g (z), expressing the argument in radians in the interval (0, 2 π) .

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Question 6

Determine the quadrant and principal argument ar g (z) of the complex number z = 33 - 3 i, expressing the argument in radians in the interval (0, 2 π) .

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Question 7

Determine the quadrant and argument ar g (z) of the complex number z = - 3 - i, expressing the argument in radians in the interval (0, 2 π) .

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Question 8

Determine the quadrant and the argument ar g (z) of the complex number z = 3 - 3 i, expressing the argument in radians in the interval [0, 2 π) .

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Question 9

Determine the quadrant and argument ar g (z) of the complex number z = - 1 + 3 i, expressing the argument in radians in the interval (0, 2 π) .

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Question 10

Determine the quadrant and argument ar g (z) of the complex number z = - 23 + 2 i, expressing the argument in radians in the interval (0, 2 π) .

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Question 11

Determine properties of a complex number including its quadrant and argument within a specified interval.

Determine the quadrant and the argument ar g (z) of the complex number z = - 4 + 4 i, expressing the argument in radians in the interval (0, 2 π) .

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Question 12

The question asks to identify the quadrant and calculate the argument of a complex number given in Cartesian form, within a specific interval.

Determine the quadrant and the argument ar g (z) of the complex number z = - 3 - 33 i, expressing the argument in radians in the interval (0, 2 π) .

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IB Mathematics Applications & Interpretation Question Type 4: for a Given Complex Number, Determining the Quadrant and Finding the Argument Exercises