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PURE MATHS CIRCLES

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請求指點,Consider the line L : y=2a and the circle C : x^2 + y^2 =a , a>0.Let P be a variable point on L. If the tangents for P to C touch the circle C at points Q and R respectively, show that the mid- point of QR lies on fixed circle and find Q and R respectively, show that mid-point of QR lies on a fixed... 顯示更多 請求指點, Consider the line L : y=2a and the circle C : x^2 + y^2 =a , a>0. Let P be a variable point on L. If the tangents for P to C touch the circle C at points Q and R respectively, show that the mid- point of QR lies on fixed circle and find Q and R respectively, show that mid-point of QR lies on a fixed circle and find center and radius of this circle.

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http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-150.jpg 圖片參考:http://i1090.photobucket.com/albums/i376/Nelson_Yu/int-150.jpg

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