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Prove that the distance from the origin to the orthocentre of the triangle formed by the lines (x)/(alpha)+(y)/(beta)=1 and ax^(2)+2hxy+by^(2)=0 is (alpha^(2)+beta^(2))^(1//2)|((a+b) alpha)/(a alpha^(2)-2 halpha beta+b beta^(2))| |
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