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[ 14.Find the equation of the parabola w...

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

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

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

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

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

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

Find the equation of the parabola whose focus is (1,1) and equation of directrix is x+y=1.

Find the equation of the parabola whose focus is at (-1, 1) and the directrix is x+y+1=0 .

Find the equation of the parabola whose focus is at (-1, 1) and the directrix is x+y+1=0 .

Find the equation of the parabola whose focus is (2,1) and whose directrix is 3x - y + 1 = 0 .

Find the equation of the parabola whose focus is S (1,-7) and vertex is A(1,-2).