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 centre of the circle x² + y² + 8x + 2y + 1 = 0. Type it like (2, −1).
Answer
Question 2
Find the radius of the circle x² + y² + 12x − 12y + 36 = 0.
Answer
Question 3
Find the centre of the circle x² + y² − 2x − 6y − 6 = 0. Type it like (2, −1).
Answer
Question 4
Find the radius of the circle x² + y² + 4x − 8y + 11 = 0.
Answer
Question 5
Find the centre of the circle x² + y² − 6x − 8y − 39 = 0. Type it like (2, −1).
Answer
Question 6
Find the radius of the circle x² + y² + 10x + 8y − 40 = 0.
Answer
Question 7
Find the centre of the circle x² + y² + 12x + 6y + 36 = 0. Type it like (2, −1).
Answer
Question 8
Find the radius of the circle x² + y² − 10x + 10y + 49 = 0.
Answer
Question 9
Find the centre of the circle x² + y² + 12x + 6y + 20 = 0. Type it like (2, −1).
Answer
Question 10
Find the radius of the circle x² + y² + 8x + 12y − 12 = 0.
Answer
Question 11
Find the centre of the circle x² + y² − 2x − 4y − 59 = 0. Type it like (2, −1).
Answer
Question 12
Find the radius of the circle x² + y² + 10x − 4y + 28 = 0.
Answer
Question 13
Find the centre of the circle x² + y² − 8x − 6y − 11 = 0. Type it like (2, −1).
Answer
Question 14
Find the radius of the circle x² + y² + 6x − 4y + 12 = 0.
Answer
Question 15
Find the centre of the circle x² + y² + 12x + 8y + 27 = 0. Type it like (2, −1).
Answer
Question 16
Find the radius of the circle x² + y² − 12x − 4y + 4 = 0.
Answer
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