Equation of the parabola with focus (3,-4) and directrix x+y+7=0

x²+y²-2xy-26x+2y+1=0

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x²+y²-2xy-26x+14y-3=0

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x²+y²-2xy-26x-14y+3=0

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x²+y²-2xy-26x-2y+5=0

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Solution

The correct option is A
x²+y²-2xy-26x+2y+1=0

$S = (3, - 4) D i r e c t r i x x + y + 7 = 0$
$(x - 3)^{2} + (y + 4)^{2} = \frac{(x + y + 7)^{2}}{2} \Rightarrow 2 x^{2} + 2 y^{2} - 12 x + 16 y + 50 = x^{2} + y^{2} + 49 + 2 x y + 14 x + 14 y$
$\Rightarrow x^{2} - 2 x y + y^{2} - 26 x + 2 y + 1 = 0$

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Similar questions

(1, - 1)

x + y + 7 = 0

(- 1, - 2)

x - 2 y + 3 = 0

Write the equation of the parabola with focus (0,0) and directrix x+y-4=0.

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