The parabola \( y=4-x^{2} \) has vertex \( P \). It intersects \( x \)-axis at \( A \) and \( B ...

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The parabola \( y=4-x^{2} \) has vertex \( P \). It intersects \( x \)-axis at \( A \) and \( B \). If the parabola is translated from its initial position to a new position by moving its vertex along the line \( y=x+4 \), so that it intersects \( x \)-axis at \( B \) and \( C \), then abscissa of \( C \) will be :
(a) 3
(b) 4
(c) 6
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