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Circles

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Question 1

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]

Circles Questions

  1. A Level
  2. /Maths
  3. /Circles

Practise Edexcel A Level Maths Circles with exam-style questions for A Level Maths. 28 questions covering 6.1 Midpoints and Perpendicular Bisectors, 6.2 Equation of a Circle, 6.3 Intersections of Straight Lines and Circles, 6.4 Use Tangent and Chord Properties, and 6.5 Circles and Triangles, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank