when the group of pair of linear equations interesect at the point then the system of equations will have
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Joint Equation of Pair of Lines Joining the Origin and the Points of Intersection of a Line and a Curve.
If the line Ix + my + n = 0, (n 0) i.e.
the line not passing through origin) cuts the curve
ax² + 2hxy + by²+ 2gx +2fy +c= 0
at two points A and B,
then the joint equation of straight lines passing through A and B and the origin is given by homogenizing the equation of the curve by the equation of the line.
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