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Question 129

The circle C C\,C has the equation x2+y2−14x+2y+k=0x^2 + y^2 - 14x + 2y + k = 0x2+y2−14x+2y+k=0, where k k\,k is a constant such that 1<k<501 < k < 501<k<50

a.

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

[3]
b.

The line with equation y=mxy = mxy=mx where m m\,m is a constant, meets C C\,C at two distinct points. Find, in terms of kkk, the range of possible values of mmm.

[7]
Markscheme

Circles Questions

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

292 exam-style questions on Edexcel A Level Maths Circles, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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