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Topic: cartesian plane geometry
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Posts: 16
Registered: 4/30/07
cartesian plane geometry
Posted: Jul 4, 2007 6:01 AM
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A triangle with two of its sides on along the lines ax^2 + 2hxy +by^2=0 has its orthocentre at (p,q). Prove that in general, its third side has the equation (a+b)(px+ qy)= aq^2 - 2hpq+ bq^2. Examine the special case when a+b= 0

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