Sub-topic 1
2024 · National Preliminary
Free
Circle touching the y-axis, passing through $a(0,0)$ and $b(6,0)$
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Sub-topic 2
2025 · National One-Eighth
Premium
Circle with ends of a diameter at $a(2,-2)$, $b(-4,6)$
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Sub-topic 3
2024 · National One-Eighth
Premium
Conditions for $ax^2+by^2+2fx+2gy+c=0$ to be a circle (true/false)
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Sub-topic 4
2024 · National One-Eighth
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Identifying the centre of a circle from its general equation (true/false)
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Sub-topic 10
2024 · National Preliminary
Premium
Does $x^2+y^2+2gx+2fy+c=0$ represent a real circle? (true/false)
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Sub-topic 14
2024 · National Preliminary
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Area of a circle in terms of $\pi$ from its general equation
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Sub-topic 17
2026 · National Preliminary
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Circle touching both axes with a given tangency point
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Sub-topic 22
2025 · National Semifinal
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Circle with centre on a line, tangent to the x-axis at a given point
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Sub-topic 32
2023 · National One-Eighth
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Circle touching the four lines $x=4$, $x=-2$, $y=6$, $y=0$
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Sub-topic 33
2021 · National Preliminary
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Centre and radius of a circle from its general equation
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Sub-topic 33
2017 · National Quarterfinal
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Centre and radius of a circle from its general equation
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Sub-topic 38
2026 · National Preliminary
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Centre and radius of a circle from its general equation
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Sub-topic 41
2024 · National One-Eighth
Premium
Conditions for $ax^2+by^2+2fx+2gy+c=0$ to be a circle (true/false)
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Sub-topic 44
2024 · Regional Championship
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Does a given point satisfy $x^2+y^2\lt r^2$? (true/false)
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Sub-topic 65
2018 · National Preliminary
Premium
Circle with centre $c(1,2)$ through $p(-2,6)$
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Sub-topic 67
2021 · National Quarterfinal
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Is the centre of $x^2+y^2-2x+4y=0$ equal to $(2,-4)$? (true/false)
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Sub-topic 68
2021 · National Quarterfinal
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Is the centre of $x^2+y^2-2x+4y=0$ equal to $(1,-2)$? (true/false)
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Sub-topic 71
2022 · National Preliminary
Premium
Circle in the third quadrant touching both axes, centre $5$ units from the x-axis
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