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If the line  for  i.e the line not passing though origin cuts the curve  at two points A and B, then the joint equation of the straight lines passing though A and B and the origin is given by the homogenising the equation of the curve by the equation of the line. To homegenise, consider the curve with the higher defree. And then multiply it by the first curve WITHOUT changing it.
i.e 
So we now multiply with this quantity such that every term is of same power.
The above equation now gives us the equation of the lines OA and OB.
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Moderation Team
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