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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 1
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The circle C C\,C has the equation x2+y2−14x+2y+40=0x^2 + y^2 - 14x + 2y + 40 = 0x2+y2−14x+2y+40=0

a.

Find (i) the coordinates of the centre of C C\,C and (ii) the exact radius of CCC.

[3]
b.

The line with equation y=kxy = kxy=kx where k k\,k is a constant, meets C C\,C at two distinct points. Find the range of possible values of kkk.

[6]
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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