## Exam-Style Question on Circle Equations## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 252. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

The diagram shows a circle with equation \(x^2+y^2=13\).

A tangent to the circle touches the circle at the point J. The x-coordinate of J is 2. The tangent intersects the x-axis at K. Find the coordinates of the point K.

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If you need more practice try the self-checking interactive exercises called Circle Equations.

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