Find the equation of the parabola whose focus is (1, 1) and the tangent at the vertex is x + y = 1?

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Since it is passing through focus(1,1) x-y+L=0=>1-1+L=0=>L=0. x-y=0;x+y=1; by solving these 2 equations we get:-x=1/2;y=1/2.
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Since it is passing through focus(1,1) x-y+L=0=>1-1+L=0=>L=0. x-y=0;x+y=1; by solving these 2 equations we get:-x=1/2;y=1/2.
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