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CAIE A Level Mathematics 9709

Coordinate geometry questions

Exam-style questions on Coordinate geometry, ordered from foundation to challenge. Pick one, write your answer the way you would in the exam, and it comes back marked against the mark scheme, point by point.

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Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.

  1. 2 marksFoundationFind the exact distance between the points (0, 0) and (8, 6).
  2. 2 marksFoundationThe line L passes through the points A(1, -5) and B(5, 11).
  3. 1 markFoundationFind the x-coordinate of the midpoint of the line segment joining the points A(8, 9) and B(10, 10).
  4. 1 markFoundationFind the x-coordinate of the midpoint of the line segment joining A(7,8) and B(5,8).
  5. 2 marksStandardA circle has equation x^2 + y^2 + 8x + 0 = 0.
  6. 3 marksChallengeA triangle has vertices A(2, 2), B(12, 2) and C(4, 8).
  7. 5 marksChallengeThe line y = (7)/(24) x + k is a tangent to the circle x^2 + y^2 = q^2 where p and q are positive integers. Given that p = 7 and q = 24, find the positive value of k.