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Triangles are formed by pairs of tangent dreawn from any point on the ellipse a^(2)x^(2)+b^(2)y6(2)=(a^(2)+b^(2)^(2) to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 and the chord of contact. Show that the orthocentre of each such triangles lies triangle lies on the ellipse. |
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