# Conic Sections: Challenge #6

Geometry Level 2

Sub-unit: Parabola

If normals at the end of a variable chord 'PQ' of the parabola $y^{2} = 4y +2x$ are perpendicular to each other then the locus of point of intersection of tangents at 'P' and 'Q' is a straight line which has the equation $ax+by+c=0$. Find the value of $a+b*c$.

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