If the equation of the parabola, whose vertex is at \( \mathrm{P} \...

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If the equation of the parabola, whose vertex is at
\( \mathrm{P} \) \( (5,4) \) and the directrix is

W \( 3 x+y-29=0 \), is \( x^{2}+a y^{2}+b x y+c x+d y+k=0 \), then \( a+b+c+d+k \) is equal to
(1) 575
(2) -575
(3) 576
(4) -576
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