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Let `x+alphay-1=0`, `alpha in R` be a variable chord of parabola `y^2=4x`. Which cuts the parabola at A and B. 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` |
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D. |
`x+y^2-3=0` |