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1.6 C: Coordinate geometry in the (x, y) plane

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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]

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

Practise AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane with exam-style questions for A Level Maths. 110 questions covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only), matched to the AQA A Level Maths (7357) 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