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If the equation of the parabola, whose vertex is at (5, 4) and the directrix is 3x + y – 29 = 0, is x 2 + ay 2 + bxy + cx + dy + k = 0, then a + b + c + d + k is equal to

1. 575
2. –575
3. 576
4. –576

Correct answer: –576

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