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Math Help - Circle Geometry: Centre of Circle

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    Circle Geometry: Centre of Circle

    Two circles cut in A and B. Tangents AT and AS at A are perpendicular. Show that AT and AS pass through the centres of the respective circles.

    I have no idea to how even begin to prove this.
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    Quote Originally Posted by Lukybear View Post
    Two circles cut in A and B. Tangents AT and AS at A are perpendicular. Show that AT and AS pass through the centres of the respective circles.
    Any line which is perpendicular to a tangent to a circle at the point of tangency must contain the center of the circle.
    In this case you have two circles, two tangents and to perpendiculars.
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