Mathematics

Mathematics

Problem

For the parabola having focus (a,0)(a,0) and directrix x=−ax=-a, a point P(x,y)P(x,y) belongs to the curve only if a) (x−a)2+y2=(y+a)2(x-a)^{2}+y^{2}=(y+a)^{2} b) y2=4a(x−a)y^{2}=4a(x-a) c) (x−a)2+y2=(x+a)2(x-a)^{2}+y^{2}=(x+a)^{2} d) (x+a)2+y2=(x−a)2(x+a)^{2}+y^{2}=(x-a)^{2}

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