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Question 57

The diagram shows line with equation y+2x=3y + 2x = 3y+2x=3 which is a tangent to a circle with centre (7,−1)(7, -1)(7,−1).

An unlabelled coordinate sketch with horizontal and vertical axes, a circle, a centre dot, and a descending tangent.

a.

Find the coordinates of the point where the tangent touches the circle.

[3]
b.

Find an equation for the circle.

[2]
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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