- #1

Saitama

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**Problem:**

Find the coordinates of focus of a parabola which $x=0, y=0, x+y=1$ and $y=x-2$.

**Attempt:**

I noticed that the we are given two pairs of perpendicular tangents. Since perpendicular tangents intersect at directrix, the equation of directrix is $y=-x/3$.

I am clueless about the next step.

Any help is appreciated. Thanks!

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