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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

  1. Question 1

    Find the centre of the circle x² + y² + 8x + 2y + 1 = 0. Type it like (2, −1).

    Answer

  2. Question 2

    Find the radius of the circle x² + y² + 12x − 12y + 36 = 0.

    Answer

  3. Question 3

    Find the centre of the circle x² + y² − 2x − 6y − 6 = 0. Type it like (2, −1).

    Answer

  4. Question 4

    Find the radius of the circle x² + y² + 4x − 8y + 11 = 0.

    Answer

  5. Question 5

    Find the centre of the circle x² + y² − 6x − 8y − 39 = 0. Type it like (2, −1).

    Answer

  6. Question 6

    Find the radius of the circle x² + y² + 10x + 8y − 40 = 0.

    Answer

  7. Question 7

    Find the centre of the circle x² + y² + 12x + 6y + 36 = 0. Type it like (2, −1).

    Answer

  8. Question 8

    Find the radius of the circle x² + y² − 10x + 10y + 49 = 0.

    Answer

  9. Question 9

    Find the centre of the circle x² + y² + 12x + 6y + 20 = 0. Type it like (2, −1).

    Answer

  10. Question 10

    Find the radius of the circle x² + y² + 8x + 12y − 12 = 0.

    Answer

  11. Question 11

    Find the centre of the circle x² + y² − 2x − 4y − 59 = 0. Type it like (2, −1).

    Answer

  12. Question 12

    Find the radius of the circle x² + y² + 10x − 4y + 28 = 0.

    Answer

  13. Question 13

    Find the centre of the circle x² + y² − 8x − 6y − 11 = 0. Type it like (2, −1).

    Answer

  14. Question 14

    Find the radius of the circle x² + y² + 6x − 4y + 12 = 0.

    Answer

  15. Question 15

    Find the centre of the circle x² + y² + 12x + 8y + 27 = 0. Type it like (2, −1).

    Answer

  16. Question 16

    Find the radius of the circle x² + y² − 12x − 4y + 4 = 0.

    Answer

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  1. (−4, −1)
  2. 6
  3. (1, 3)
  4. 3
  5. (3, 4)
  6. 9
  7. (−6, −3)
  8. 1
  9. (−6, −3)
  10. 8
  11. (1, 2)
  12. 1
  13. (4, 3)
  14. 1
  15. (−6, −4)
  16. 6