If two curves

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

If two curves, whose equations are ax2+2hxy+by2+2gx+2fy+c=0ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 and a′x2+2h′xy+b′y2+2g′x+2f′y+c′=0a'x^2 + 2h'xy + b'y^2 + 2g'x + 2f'y + c' = 0 intersect in four concyclic points, prove that a−bh=a′−b′h′\frac{a-b}{h} = \frac{a'-b'}{h'}

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