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A parabola has vertex (5, 4) and directrix 3x + y - 29 = 0. If its equation is written as x² + a y² + b xy + c x + d y + k = 0, find a + b + c + d + k.
- -575
- 575
- 576
- -576
Correct answer: -575
Solution
Locating the focus from the vertex and directrix and applying the focus-directrix definition yields a parabola whose coefficients sum (a+b+c+d+k) to -575.
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