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Let x+alpha y-1=0, alpha in R be a vari...

Let `x+alpha y-1=0,` `alpha in R` be a variable chord of parabola `y^2=4x.` which cuts the parabola at A and . If normal at A and B meet at C, then locus of c may be (A) `x+y^2+3=0` (B) `x-y^2+3=0` (C) `x-y^2-3=0` (D) `x+y^2-3=0`

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