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Converting between polar and Cartesian coordinates of a point

This type of question, asked 3 times: 12 May 2026 S1, 13 May 2026 S2, 14 May 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    12 May 2026 S1

    58
    A line passes through the points O(0,0),A(3,3)O(0, 0), A(3, 3). Then the polar coordinates of point A are ...

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  2. Question 2

    13 May 2026 S2

    60
    The polar coordinates of point PP are (2,π4)\left(\sqrt{2}, \dfrac{\pi}{4}\right). If QQ is the image of PP about yy axis, then the polar coordinates of QQ are ______

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  3. Question 3

    14 May 2026 S2

    58
    If the polar coordinates of the point P are (1,7π4)\left(1, \dfrac{7\pi}{4}\right), then the sum of the squares of abscissa and ordinate of Cartesian coordinates of point P is

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