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1.3 Coordinate Geometry in the x-y Plane

1.3 Coordinate Geometry in the x-y Plane

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Question 11

The points DDD, E E\,E and F F\,F have coordinates (−3,2)(-3, 2)(−3,2), (4,−1)(4, -1)(4,−1) and (1,−8)(1, -8)(1,−8) respectively.

a.

Show that angle DEF DEF\,DEF is a right angle.

[3]
b.

Given that DDD, E E\,E and F F\,F all lie on the circle CCC, find the coordinates of the centre of CCC.

[2]
c.

Find an equation for CCC.

[3]
Markscheme

1.3 Coordinate Geometry in the x-y Plane Questions

  1. A Level
  2. /Maths
  3. /1.3 Coordinate Geometry in the x-y Plane

143 exam-style questions on OCR A Level Maths 1.3 Coordinate Geometry in the x-y Plane, covering 1.3.1 Straight lines, 1.3.2 Parallel and perpendicular lines, 1.3.3 Straight line models, 1.3.4 Coordinate geometry of a circle, 1.3.5 Centre and radius by completing the square, 1.3.6 Circle properties, 1.3.7 Parametric equations of curves (A-level only), 1.3.8 Parametric equations in context (A-level only), and 1.3 Coordinate Geometry in the x-y Plane. Each one has a worked solution and a mark scheme showing where the marks go.

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