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Second-degree equation that represents a circle: find its centre, radius or area

This type of question, asked 2 times: 11 Apr 2026 S2, 15 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    11 Apr 2026 S2

    59
    If the equation 3x2+(3−p)xy+qy2−2px=8pq3x^2 + (3 - p)xy + qy^2 - 2px = 8pq represents a circle, then the area (in sq. units) of this circle is

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  2. Question 2

    15 Apr 2026 S1

    59
    The centre and radius of the circle (a+1)x2+3y2−6x+9y+a+4=0(a+1)x^2 + 3y^2 - 6x + 9y + a + 4 = 0 are respectively ...

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