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Question 142

The circle C C\,C has equation

(x−1)2+(y−5)2=29 (x - 1)^2 + (y - 5)^2 = 29 (x−1)2+(y−5)2=29

The line with equation

5x+2y+14=0 5x + 2y + 14 = 0 5x+2y+14=0

is the tangent to C C\,C at the point AAA.

a.

Find the coordinates of the centre of C C\,C and the exact value of its radius.

[3]
b.

Find the coordinates of AAA.

[4]
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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