Find the centre and radius from x² + y² + Dx + Ey + F = 0
10th grade (Year 11 in England) · 16 questions · Common Core: HSG.GPE.A.1 · England: A-level Pure Mathematics
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Date
Score/ 16
Question 1
Find the radius of the circle x² + y² − 2x + 8y + 8 = 0.
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Question 2
Find the centre of the circle x² + y² − 2x − 4y − 59 = 0. Type it like (2, −1).
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Question 3
Find the radius of the circle x² + y² + 2x − 4y − 4 = 0.
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Question 4
Find the centre of the circle x² + y² − 4x + 2y − 20 = 0. Type it like (2, −1).
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Question 5
Find the radius of the circle x² + y² + 6x − 8y + 21 = 0.
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Question 6
Find the centre of the circle x² + y² − 4x + 8y − 5 = 0. Type it like (2, −1).
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Question 7
Find the radius of the circle x² + y² − 10x + 4y + 13 = 0.
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Question 8
Find the centre of the circle x² + y² − 2x + 10y + 25 = 0. Type it like (2, −1).
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Question 9
Find the radius of the circle x² + y² + 6x − 6y + 9 = 0.
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Question 10
Find the centre of the circle x² + y² − 2x + 10y + 1 = 0. Type it like (2, −1).
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Question 11
Find the radius of the circle x² + y² + 12x + 12y − 9 = 0.
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Question 12
Find the centre of the circle x² + y² + 4x + 2y − 76 = 0. Type it like (2, −1).
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Question 13
Find the radius of the circle x² + y² + 8x + 6y − 39 = 0.
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Question 14
Find the centre of the circle x² + y² − 12x − 6y + 41 = 0. Type it like (2, −1).
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Question 15
Find the radius of the circle x² + y² + 8x − 6y + 24 = 0.
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Question 16
Find the centre of the circle x² + y² + 2x − 6y − 54 = 0. Type it like (2, −1).
Answer
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