1.

The equation of the parabola whose focus is the point (0, 0) and the tangent at the vertex is \[x-y+1=0\]is  [Orissa JEE 2002]

A. \[{{x}^{2}}+{{y}^{2}}-2xy-4x+4y-4=0\]
B. \[{{x}^{2}}+{{y}^{2}}-2xy+4x-4y-4=0\]
C. \[{{x}^{2}}+{{y}^{2}}+2xy-4x+4y-4=0\]
D. \[{{x}^{2}}+{{y}^{2}}+2xy-4x-4y+4=0\]
Answer» D. \[{{x}^{2}}+{{y}^{2}}+2xy-4x-4y+4=0\]


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