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Circles & Conicshard
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What is the locus of the point P(x,y)P(x, y)P(x,y) such that the product of its distances from the lines 3x+4y+5=03x + 4y + 5 = 03x+4y+5=0 and 3x−4y+5=03x - 4y + 5 = 03x−4y+5=0 is a constant C=25C = 25C=25?