Prove that the equation of the parabola whose focus is and whose tangent at the…

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

Problem

Prove that the equation of the parabola whose focus is (0,0)(0,0) and whose tangent at the vertex is x−y+1=0x-y+1=0 is x2+y2+2xy−4x+4y−4=0x^2+y^2+2xy-4x+4y-4=0.

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