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Prove that the equation of the parabola ...

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`.

A

`x^(2)+y^(2)+2xy-4x+4y-4=0`

B

`x^(2)-4x+4y-4=0`

C

`y^(2)-4x+4y-4=0`

D

`2x^(2)+2y^(2)-4xy-x+y-4=0`

Text Solution

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The correct Answer is:
A
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